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3 years ago

A relay team of 4 swimmers is to be formed from a swim team with 20 member. How many different relay teams are possible?

1 answer:

5 0

<span>When order does not matter you use what is called n choose k formula

n!/(k!(n-k)!) where n is the number of things to choose from and k is the number of choices made, in this case:

20!/(4!(20-4)!)=4845</span>

You might be interested in

An integer between 4.5 and 5.5

Brums [2.3K]

Answer: 5

Step-by-step explanation:

the only whole number between them is 5 <3

3 0

3 years ago

Plz, answer! 34 + 2 ⋅ 5 =

8_murik_8 [283]

$3^{4}$ + 2 × 5

To evaluate apply the rules of PEMDAS (Parentheses, Exponent, Multiplication, Division, Addition, Subtraction)

Parentheses

There are none for this steps so go on to the next step

Exponent:

$3^{4}$

so...

81 + 2 × 5

Multiplication:

81 + 2 × 5

2 × 5

so...

81 + 10

No division in this equation so skip this step and go to the next one

Addition:

81 + 10

Hope this helped!

~Just a girl in love with Shawn Mendes

6 0

2 years ago

Read 2 more answers

You have total coins for a total of $. . You only have quarters and dimes. Let represent the number of quarters and represent th

Sonja [21]

Answer:

$Quarters = 41$

$Dimes = 18$

Step-by-step explanation:

Given

$Coins = 59$

$Worth = \$12.05$

$d = dimes$

$q = quarters$

Required

The number of each coin

The total coins can be represented as:

$d + q = 59$

$1\ quarter = \$0.25 \\ 1\ dime = \$0.10$

So, the worth of the coin is:

$0.25q + 0.10d = 12.05$

The equations to solve are:

$0.25q + 0.10d = 12.05$

$d + q = 59$

Make d the subject in: $d + q = 59$

$d =59 - q$

Substitute $d =59 - q$ in $0.25q + 0.10d = 12.05$

$0.25q + 0.10(59 - q) = 12.05$

$0.25q + 5.9 - 0.10q = 12.05$

Collect like terms

$0.25q - 0.10q = 12.05 - 5.9$

$0.15q = 6.15$

Solve for q

$q=\frac{6.15}{0.15}$

$q=41$

Substitute $q=41$ in $d =59 - q$

$d = 59 - 41$

$d = 18$

So:

$Quarters = 41$

$Dimes = 18$

5 0

2 years ago

Michael bought a soccer ball for $15. It was 40% off the original price. What fraction represents the amount of the original pri

valentinak56 [21]

Answer:

B i think

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

What is the measure of angle BAC? Round to the nearest whole degree.

Deffense [45]

The answer would be 70 degrees.

In order to find this answer, we must first look at the cos value of an angle. The unknown angle here gives us an adjacent side of 3.4 and a hypotenuse of 10. Thus, we can use the following with cos.

Cos(A) = 3.4/10 or Cos(A) = .34

As a result, we can then use the arccos function to find the answer.

acrcos(.34) = A

70.12 = A

Then when we round, we'd get 70.

6 0

3 years ago