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-BARSIC- [3]
3 years ago
13

There are 20 students in the high school glee club. They need to pick four students to serve as

Mathematics
2 answers:
gayaneshka [121]3 years ago
6 0

Answer:

4845 ways

Step-by-step explanation:

To solve this problem we use the formula of combinations

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

Where n is the total number of students that can be chosen and you choose r from them.

So

n = 20\\r = 4

Note that in this case the order in which the 4 students are chosen does not matter.

Then

20C4=\frac{20!}{4!(20-4)!}

20C4=\frac{20!}{4!*16!}=4845\ ways

devlian [24]3 years ago
4 0

Answer:

4845

Step-by-step explanation:

Total number of students : 20

Students to be picked : 4

Does order matter? : No

Use combination formula (see attached)

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Step-by-step explanation:

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3 years ago
A survey of athletes at a high school is conducted, and the following facts are discovered: 13% of the athletes are football pla
nekit [7.7K]

Answer:

The probability that an athlete chosen is either a football player or a basketball player is 56%.

Step-by-step explanation:

Let the athletes which are Football player be 'A'

Let the athletes which are Basket ball player be 'B'

Given:

Football players (A) = 13%

Basketball players (B) = 52%

Both football and basket ball players = 9%

We need to find probability that an athlete chosen is either a football player or a basketball player.

Solution:

The probability that athlete is a football player = P(A)= \frac{13}{100}=0.13

The probability that athlete is a basketball player = P(B)= \frac{52}{100}=0.52

The probability that athlete is both basket ball player and  football player = P(A\cap B) = \frac{9}{100}=0.09

We have to find the probability that an athlete chosen is either a football player or a basketball player P(A\cup B).

Now we know that;

P(A\cup B)= P(A) + P(B) - P(A \cap B)\\\\P(A\cup B) = 0.13+0.52-0.09=0.56\\\\P(A\cup B) = \frac{0.56}{100}=56\%

Hence The probability that an athlete chosen is either a football player or a basketball player is 56%.

5 0
3 years ago
the length of a rectangle is 14 meters. the perimeter of the rectangle is 44 meters. what is the width?
fomenos

Answer:

8

Step-by-step explanation:

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