Carcass wrote:
The number of ways of selecting four members from a group of ten members so that one particular member is always included is :
A. 56
B. 63
C. 72
D. 73
E. 84
Let's say the group of 10 members includes Sue, and we want Sue to always be included in the group of the 4 selected people.
So, we'll automatically place Sue in the group of the 4 selected people.
This means we must select the 3 other people from the remaining 9 members of the group.
Since the order in which we select those 3 people does not matter, we can use combinations.
We can select 3 people from 9 people in 9C3 ways
9C3 = (9)(8)(7)/(3)(2)(1) = 84
Answer: E