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KATRIN_1 [288]
2 years ago
5

A medical researcher needs 37 people to test the effectiveness of an experimental drug. If 101 people have volunteered for the t

est in how many ways can 37 people be selected
Mathematics
1 answer:
Rashid [163]2 years ago
5 0

Answer:

The number of ways to select 37 people from 101 is, 5,397,234,129,638,871,133,346,507,775.

Step-by-step explanation:

In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

{n\choose k}=\frac{n!}{k!\cdot (n-k)!}

Compute the number of ways to select 37 people from 101 as follows:

{101\choose 37}=\frac{101!}{37!\cdot (101-37)!}

        =\frac{101!}{37!\times 64!}\\\\=\frac{101\times 100\times 99\times....64!}{37!\times 64!}\\\\=5397234129638871133346507775

Thus, the number of ways to select 37 people from 101 is, 5,397,234,129,638,871,133,346,507,775.

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You have to multiply 75 x 45 which is 3,375. Then, you subtract 24,580 - 3,375 which is 21,205. Hope this helped. :)
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Answer:

  • Jacob: 4
  • his mother: 39

Step-by-step explanation:

Let J and M represent the current ages of Jacob and his Mother.

<u>currently</u>:

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<u>in 11 years</u>:

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Using the first equation to substitute for M in the second, we have ...

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2 years ago
a car costs 25,750.00 and depreciates in value 20%per year. how much will the car be worth in 5 years?
andriy [413]
In five years the car will be worth $9,472.90
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3 years ago
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alexandr402 [8]

Answer:

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Step-by-step explanation:

A triangle is 180 degrees

(x+59) + (x+51) + 84 = 180        >> add everything on the left side

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x = -7

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Answer:

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Step-by-step explanation:

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