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-BARSIC- [3]
2 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]2 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]2 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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A strand of bacteria has a doubling time of 15 minutes. If the population starts with 10 organisms, how long would it take for t
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In 90 minutes the population to grow to 700 organisms.

Given that,

A strand of bacteria has a doubling time of 15 minutes.

If the population starts with 10 organisms.

We have to determine,

How long would it take for the population to grow to 700 organisms?

According to the question,

A strand of bacteria has a doubling time of 15 minutes.

If the population starts with 10 organisms.

In 15 minutes strand of bacteria has a doubling time the population starts with 10 organisms.

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In 15 minutes 20 bacteria for the population to grow.

In 30 minutes strand of bacteria has a doubling time the population starts with 20 organisms.

\rm = 20 \times 2 = 40 \ bacteria

In 30 minutes 40 bacteria for the population to grow.

In 45 minutes strand of bacteria has a doubling time the population starts with 40 organisms.

\rm = 40 \times 2 = 80 \ bacteria

In 45 minutes 80 bacteria for the population to grow.

In 60 minutes strand of bacteria has a doubling time the population starts with 80 organisms.

\rm = 80 \times 2 = 160 \ bacteria

In 60 minutes 160 bacteria for the population to grow.

In 75 minutes strand of bacteria has a doubling time the population starts with 160 organisms.

\rm = 160 \times 2 = 320 \ bacteria

In 75 minutes 320 bacteria for the population to grow.

In 90 minutes strand of bacteria has a doubling time the population starts with 320 organisms.

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In 90 minutes 640 bacteria for the population to grow.

In 120 minutes strand of bacteria has a doubling time the population starts with 640 organisms.

\rm = 640 \times 2 = 1280 \ bacteria

In 120 minutes 1280 bacteria for the population to grow.

Hence, In 90 minutes the population to grow to 700 organisms.

For more details refer to the link given below.

brainly.com/question/3188472

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