Question

A medical researchers needs 7 people to test the effectiveness for an experimental drug. If 12 people have volunteered for the test, in how many ways can 6 people be selected?

Answer 1

Answer:

924

Step-by-step explanation:

Number of people volunteered for the test = 12

So,

6 people can be selected out of 12 using C(n,r).

=> C(12,6)

[∴ C(n,r) = (n!/(n - r)!r!)]

=> (12!/(12 - 6)!6!)

⇒ (12 * 11 * 10 * 9 * 8 * 7 * 6)/(6 * 5 * 4 * 3 * 2 * 1)

⇒ 924

Hope it helps!