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Salsk061 [2.6K]
2 years ago
7

Calculate the number of ways that the coach can assign the 4 positions to his 16 players.

Mathematics
1 answer:
Natali5045456 [20]2 years ago
8 0

The number of ways that the coach can assign the 4 positions to his 16 players would be 43, 680 ways

<h3>How to calculate the permutation</h3>

The formula for permutation is given as;

Permutation = \frac{n!}{(n - r)!}

n = 16

r =4

Permutation = \frac{16!}{12!}

Permutation = \frac{16 *15*14*13*12*11*10*9*8*7*6*5*4*3*2*1}{12*11*10*9*8*7*6*5*4*3*2*1}

Permutation = 43, 680 ways

Thus, the number of ways that the coach can assign the 4 positions to his 16 players would be 43, 680 ways

Learn more about permutation here:

brainly.com/question/12468032

#SPJ1

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Which pair of expressions represents inverse functions
Natali5045456 [20]

Answer: C. \dfrac{x+3}{4x-2} and \dfrac{2x+3}{4x-1}


Step-by-step explanation: if a function f(x) has g(x) as its inverse then it satisfies fog(x)=x and gof(x)=x

C. f(x)=\dfrac{x+3}{4x-2} and g(x)=\dfrac{2x+3}{4x-1}

   fog(x)=f(\dfrac{2x+3}{4x-1})

              =\dfrac{\dfrac{2x+3}{4x-1}+3 }{\dfrac{4(2x+3)}{4x-1}-2 }

               =x

   gof(x)=g(\dfrac{x+3}{4x-2})

              =\dfrac{\dfrac{2(x+3)}{4x-2} +3}{\dfrac{4(x+3)}{4x-2}-1 }

               =x

hence C. is the pair of inverse functions


7 0
3 years ago
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The city carnival is holding a raffle. Every raffle ticket purchased will go into a large bin. At the end of the day, one ticket
rodikova [14]

Answer:

D 1/25

Step-by-step explanation:

6+8= 14

14/350 = 0.04

1/25= 0.04

3 0
3 years ago
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The Eiffel Tower in Paris, France. Lizbeth is 5.5 feet tall. She looks up at an angle of elevation of 72° to see the top from 31
Galina-37 [17]

Answer:

why

Step-by-step explanation:

3 0
3 years ago
PLEASE HELP FAST!!!!!
lakkis [162]

Answer:

< W  ≅ < P.

Step-by-step explanation:

< W  ≅ < P.

< W is the refection of < P over the x-axis.

7 0
3 years ago
the table shows ingredients needed to make 1 batch of fruit salad. Mr. Weakland has enough ingredients to make 2 1/2 batches of
Juli2301 [7.4K]

The number of cups of fruit salad that will be in each container is; 3³/₄ cups of fruit salad

<h3>How to divide fractions?</h3>

We are given the table showing the amount of cups of each ingredient as attached.

From the table we see that;

Amount of cups of Pineapple = 2³/₄

Amount of cups of Strawberries = 2¹/₂

Amount of cups of Bananas = 1¹/₂

Amount of cups of Blueberries = 2¹/₄

Now, converting each of the given fractions to improper fractions gives;

11/4, 5/2, 3/2, 9/2

Summing up all the fractions will give us;

11/4 + 5/2 + 3/2 + 9/2

(1/4)(11 + 10 + 6 + 18) = 45/4

Now, since this total amount will be divided by 3, we will have;

45/4 ÷ 3

= 45/4 * 1/3

= 15/4 = 3³/₄ cups of fruit salad

Read more about Dividing Fractions at; brainly.com/question/1622425

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1 year ago
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