There are 7 children in a family. The number of children defines a population. The number of simple random samples of size 2 (without replacement) which are possible equals
A) 14.
B) 21.
C) 5.
D) 42.

Question

Quizplus · Accepted Answer

The number of simple random samples of size 2 that can be drawn from a population of 7 (without replacement) is calculated using the combination formula: C(n, k) = n! / [k!(n-k)!], where n is the total number of items (7 children) and k is the size of each sample (2). Thus, C(7, 2) = 7! / [2!(7-2)!] = 21.

There Are 7 Children in a Family