A medical researcher needs 37 people to test the effectiveness of an experimental drug. If 101 people have volunteered for the test in how many ways can 37 people be selected

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:

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

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

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.