THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING:
In an office of 18 people,there are 7 men and 11 women.A subcommittee of four people will be formed from this group.
-How many different ways can you select four people from a group of 18?
A)1,386
B)1,584
C)3,280
D)3,060

Question

Quizplus · Accepted Answer

This is a combination problem since we are selecting a group of people without considering their order. The formula for combinations is nCr = n! / r!(n-r)!, where n is the total number of items in the set and r is the number of items being chosen. So, in this case, the number of ways to select four people from 18 is 18C4 = 18! / 4!(18-4)! = 3,060. Therefore, the answer is choice D.