67. There are 15 clarinet players, 12 flute
players, and 7 saxophone players in a
marching band. How many ways can the
band director create a trio consisting of
one clarinet player, one flute player, and
one saxophone player?
A. 34 ways
B. 187 ways
C. 1,260 ways
D. 1,500 ways

Answers

Answer 1

Answer:

A

Step-by-step explanation: add 15+12+7

if im write can i get a brainliest? plss:>

Answer 2

The band director can create a trio in 1,260 different ways.

Hence, option C is correct.

Use the concept of permutations,

The formula for permutations is,

⇒  [tex]^{n}P_{r}[/tex] = n! / (n - r)!

Where n is the total number of items and r is the number of items we are selecting.

So in this case, we have,

⇒  n = 15 clarinet players

⇒ n = 12 flute players

⇒ n = 7 saxophone players

⇒ r = 1 clarinet player,

1 flute player, and 1 saxophone player

To find the number of ways we can create a trio with one player from each instrument, we need to calculate,

⇒ ([tex]^{15}P_{1}[/tex]) x ([tex]^{12}P_{1}[/tex]) x ([tex]^{7}P_{1}[/tex])

⇒  ([tex]^{15}P_{1}[/tex])   = 15! / (15 - 1)!

                = 15! / 14!

                = 15  

This represents the number of ways we can choose one clarinet player out of 15.  

([tex]^{12}P_{1}[/tex]) ) = 12! / (12 - 1)!

           = 12! / 11!

           = 12  

This represents the number of ways we can choose one flute player out of 12.

[tex]^{7}P_{1}[/tex] = 7! / (7 - 1)!

     = 7! / 6!

     = 7

This represents the number of ways we can choose one saxophone player out of 7.

So the total number of ways we can create a trio consisting of one clarinet player, one flute player, and one saxophone player is,

⇒ 15 x 12 x 7 = 1,260

Therefore,

The band director can create a trio in 1,260 different ways.

To learn more about permutations visit:

https://brainly.com/question/14368656

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Related Questions

9. State Bank pays 5.5 percent interest compounded semiannually on regular
savings accounts. Iva Howe deposited $2,800 in a regular savings account for
2 years. She made no other deposits or withdrawals during the period. How
much interest did her money carn?​

Answers

280 dollars I think

If you do 5.5% x 2year =0.1
2800 x 0.1= 280
Sorry if I'm wrong

The diameter of a spherical basketball is 10 inches.
What is the volume of the basketball2
Give the exact solution.
Volume


I NEED THE ANSWER FAST HELPP PLEASE

Answers

Answer:

Step-by-step explanation:

Rounded volume: 524 cubic inches.

Step-by-step solution:

The formula for the volume of a sphere is:

Where r is the radius of the sphere.

The radius is half the diameter, therefore it is r=10/2=5

We plug it into the formula and we get:

Then we get:

If we do it in our calculator we get 523.599 that rounded to the nearest whole is 524 cubic inches .

6. Rewrite each of the following expressions without roots by using fractional exponents.

Please help! I have tried to look it up everywhere and I don’t understand how to do it. Anything helps!!

Answers

Answer:

A. x¹/²

B. x¹/³

C. x¹/⁷

D. x⁵/²

E. x¹¹/³

F. 1 / x¹/⁴

G. 1 / x²/³

H. 1 / x⁹/²

Step-by-step explanation:

A. √x

Recall

√M = M¹/²

Therefore,

√x = x¹/²

B. ³√x

Recall

ⁿ√M = M¹/ⁿ

Therefore,

³√x = x¹/³

C. ⁷√x

Recall

ⁿ√M = M¹/ⁿ

Therefore,

⁷√x = x¹/⁷

D. √x⁵

Recall

√Mⁿ = Mⁿ/²

Therefore,

√x⁵ = x⁵/²

E. ³√x¹¹

Recall

ⁿ√Mᵃ = Mᵃ/ⁿ

Therefore,

³√x¹¹ = x¹¹/³

F. 1 / ⁴√x

Recall

ⁿ√M = M¹/ⁿ

Therefore,

1 / ⁴√x = 1 / x¹/⁴

G. 1 / ³√x²

Recall

ⁿ√Mᵃ = Mᵃ/ⁿ

Therefore,

1 / ³√x² = 1 / x²/³

H. 1 / √x⁹

Recall

√Mⁿ = Mⁿ/²

Therefore,

1 / √x⁹ = 1 / x⁹/²

Triangle PQR has vertices at the following coordinates: P(0, 1), Q(3, 2), and R(5, -4). Determine whether or not triangle PQR is a right triangle. Show all calculations for full credit.

Answers

Answer:

it's a right angled triangle

HELP!!! answer quickly pls

Answers

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Each of the green lines has 3 times the length of the corresponding blue line.  Thus the dilution factor is 3.

Subtracting fractions with unlike denominators

Answers

Answer:

Answer is 9/8

Step-by-step explanation:

18/8-9/8=9/8

Answer:

9/8

Step-by-step explanation:

9/4 - 9/8

9/4 x 2 = 18/8 to match denominators

18/8 - 9/8

= 9/8

can yu write a linear equation for this

Answers

Answer:

Step-by-step explanation:

Answer: 0.5x + 5 = 20Please mark as brainliest for future answers :)

Answer:20

Step-by-step explanation:

Which table represents a linaer function

Answers

Answer:

Top left table

Answer:

the first one

Step-by-step explanation:

look at the picture if it does make sense let me know

Please help!
How are 3(3x+5) and -9x-15 equivalent to 9x+15?

Answers

Ik the first equation you just distribute three to north numbers and it’ll give you 9x+15 and in the second one you can distribute a negative 1 and it’ll give you 9x+15

help this is khan academy

Answers

Answer:

20

Answer:

20

Step by step:

v = l × w × h

v = 2 × 2× 5

v = 4 × 5

v = 20

Need help asap !!!! It also said round to the nearest tenth

Answers

Answer:

4524.9

Step-by-step explanation:

Area of a parallelogram:

A = bh

A = 63 x 90

A = 5670

Area of half-circle:

A = (πr²)/2

A = (π x 27²)/2

A = (π x 729)/2

A = 729/2π

Combined:

5670 - 729/2π

4524.9

10
10
14
50
50
10
10
NOTE: Figure not drawn to scale.
Which statement can be used to prove that the triangles above are congruent?
A If two triangles have three pairs of corresponding sides that are congruent, then the triangles are congruent.
B If two triangles have three pairs of corresponding angles that are congruent, then the triangles are congruent
If two triangles have two pairs of corresponding sides that are congruent, and the included angles are congru
triangles are congruent.
D
If two triangles have to pairs of corresponding angles that are congruent, and the included sides are congru
triangles are congruent.

Answers

Answer:

do you have a picture or somthing beacuse i dont understand what your asking

Step-by-step explanation:

Answer: prove that two triangles with three congruent, corresponding angles are congruent, you would need to have at least one set of corresponding sides that are also congruent.

Step-by-step explanation:

Que funciones madre tienen su punto de inicio en el origen

Answers

Answer:

Funciones radicales

Step-by-step explanation:

Funciones radicales Esto significa que el dominio y el rango de y = √x son ambos [0, ∞). El punto de partida o vértice de la función padre también se encuentra en el origen. La función madre y = √x también aumenta en todo su dominio.

I sincerely need help because I don’t understand. please write an equation and how to answer AT LEAST one question.

Answers

C is incorrect because 1/5 divided by 4 is .05 and 1/9 is .111
a- correct
b- correct
c- incorrect
d- incorrect

PLEAS EHELP ILL GIVE BRAINLIEST

PLEASE SHOW ALL WORK AND BE SPECIFIC

Answers

Answer:

Where is the question? You didn't post it.

Based on the table, which function models this situation?

Answers

Answer:

F(n) =-3n+24

Step-by-step explanation:

(I will give brainiest) Chelsea has just started her own flower business appropriately named Flowers by C.
She knows that she needs to order carnations and roses for her grand opening in order to make
bouquets and vases to sell. She can order a maximum of 300 carnations and 250 roses. The following inequalities represent the total number of bouquets and vases she can make given the
orders she places. Let x represent the number of bouquets and y represent the number of vases.
If she wants to make 18 vases, what is the maximum number of bouquets she can make?

Answers

Answer:

x < -3/5y+ 30

Step-by-step explanation:

x < -3/5y+ 30 for the first one

addboth sides by 6y then divideboth sides by 10

is y = 7/8x proportional or non-proportional??

Answers

Answer:

It is proportional

Step-by-step explanation:

May have brainllest I only need 39 more to get to genius

Find the length of arc JK.
(Round to the nearest hundredth).

Answers

Convert Ø to radians

30°=π/6

Arc length

s=rØs=2(π/6)s=3.14/3s=1.04ft

PLEASE HELP I WILL MARK BRAINLIEST

Answers

It would be -108 feet

Hope this helps :)

(Would love brainliest)

donner l'écriture scientifiques des nombres ci-dessous
500 000 000=
650 000=
58 400 000 000=
0,000 6=
0,000 032=
0,000 000 072 3=

Answers

Answer:

Step-by-step explanation:

salut :

500 000 000= 5× 10^8

650 000= 6,5 ×10^4

58 400 000 000= 5.84 ×10^8

0,000 6= 6×10^-4

0,000 032= 3.2 ×10^-4

0,000 000 072 3= 7.23 × 10^-8

0,000 000 072 3=7,23×10^-7

Due to weather mark walk to school day of the 20 days in february what would be the fraction representation for the number of days he walk to school what will be the percent of the days in which mark walk to school

Answers

Tbe question doesn't state the number of days he walked to school out of 20 school days in the

Month of February.

Answer:

Kindly check explanation

Step-by-step explanation:

To. Obtain the fractional representayion for the number of days he walked to school ;

Let the number of days he walked to school = 10 (this is an hypothesized value)

Number of school days in February = 20

Fraction = 10 /20 = 0.5

The percentage of times walked to school : multiply the fraction obtained above by 100%

0.5 * 100% = 50%

Just put the desired value and proceed uSing the steps described above.

There are 42 more red marbles in a jar than there are white marbles. If there are 238 marbles in the jar, how many of them are red and how many are white?



Answers

Answer: red marbles = 140

White marbles = 98

Step-by-step explanation:

Let the number of white marbles be represented by x

Since there are 42 more red marbles in a jar than there are white marbles, red marbles will be: = x + 42

Since there are 238 marbles in the jar, this can be represented in an equation as:

x + x+42 = 238

2x + 42 = 238

2x = 238 - 42

2x = 196

x = 196/2

x = 98

White marbles = 98

Red marbles = x + 42

= 98 + 42

= 140


Find the value of x.

Answers

x=5
x=20
x=142
:))))))))
The answer is 0.5!

Explanation

Jordan bought 3 bottles of water at the amusemen park. If the total cost of the water was $6, which equation could be used to find the cost of each bottle of water?

PLEASEEE HELP ME I NEED THIS FOR MY EXAMMM

Answers

3divided by 6=t

T shows the total and it would be 3 divided by 6 because you need to find the total cost.

PLS HELP | Shen invested in a savings bond for 4 years and was paid simple interest at an annual rate of 6%. The total interest that he earned was $2160. How much did he invest?

Answers

Answer:

Shen invested $9000.

Step-by-step explanation:

The simple interest formula is i = prt, where p is the principal amuont, r is the annual interest rate as a decimal fraction and t is the time in years.

Here, $2160 = P*0.06*(4 yrs), so:

         $2160

P = ----------------- = $9000

            0.24

Right triangle ABC is shown below. Write an equation that can be used to determine the angle measure, in degrees, of angle DBC. Then determine the measure of n

Answers

Answer:

Step-by-step explanation:

HURRY PLEASE
A teacher surveyed her class after they had taken a vocabulary test. Elghteen of the students claimed they had studled
at least one hour for the test. The remaining twelve students admitted that they had not studied for the test at all. The
test results (expressed as a percent) for the two groups are shown below.
Studied: 87, 100, 94, 79, 92, 100, 95, 83, 89, 99, 100, 91, 89, 95, 100, 93, 96, 83
Did Not Study. 82, 72, 45, 91, 58, 83, 65, 87, 90, 77, 73, 89
Part 1: Calculate the mean of the group that did not study, rounded to the nearest tenth.
Part 2: Calculate the mean absolute deviation of the group that did not study, rounded to the nearest tenth.
Part 3: How many of the scores (from the group that did not study) are more than two mean absolute deviations from the
mean?

Answers

Answer:

Crown the other person brainliest

Step-by-step explanation:

:)

Which order pair could represent the location of point h

Answers

What does the work look like first

Helppppp please it’s timed

Answers

Answer:

Estimated population of New Hampshire is

A. 35,000

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