gmatophobia wrote:
Bunuel wrote:
The players for a Tennis Mixed Doubles match are to be chosen from among 5 men and 4 women. In how many ways can the teams for the match be formed?
(A) 40
(B) 60
(C) 80
(D) 120
(E) 160
(A) 40
(B) 60
(C) 80
(D) 120
(E) 160
For a mixed doubles match, we need 2 men and 2 women.
2 men can be selected among 5 men in 5C2 ways = 10
2 women can be selected among 4 men in 4C2 ways = 6
Among the selected players (two men and two women) we can form 2 teams.
\(M_1W_1\) or \(M_1W_2\)
Total number of ways = 10 * 6 * 2 = 120
Option D
Hello,
My answer was 240, means I am over estimating somthing but cant find out.
Can you please tell what is the issue with my approach
Approach:
Team 1: Men 5C1 and Women 4C1 = 20
Team 2: Men 4C1 and Women 3C1 = 12
12*20= 240.
What is the issue.
Statistics : Posted by thr3at • on 26 Dec 2022, 10:30 • Replies 2 • Views 844