Question

A company is allowed to interview candidates until two qualified candidates are found. But budget constraints dictate that no more than 10 candidates can be interviewed. List the sample space.

Answer 1

Kindly check attached picture for sample space design

45 ways

Explanation:

Number of qualified candidates to be chosen = 2

Number of candidates to be interviewed = 10

Combination formula :

nCr = n! / (n-r)! r!

10C2 = 10! ÷ (10 - 2)!2!

10C2 = 10*9 / 2 * 1

10C2 = 90/2

10C2 = 45 different samples

Our sample space will contain 45 different samples