There are 6 children in a family. The number of children defines a population. The number of simple random samples of size 2 (without replacement) that are possible equals _____.
A) 12
B) 15
C) 3
D) 16

Question

Quizplus · Accepted Answer

The number of simple random samples of size 2 that can be drawn from a population of 6 (without replacement) is calculated using the combination formula, which is C(n, k) = n! / [k!(n-k)!], where n is the total number of items (6 in this case) and k is the size of each sample (2 in this case). Therefore, C(6, 2) = 6! / [2!(6-2)!] = (6*5) / (2*1) = 15.

There Are 6 Children in a Family