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.

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq