Question
Question: From 4 gentlemen and 6 ladies a committee of five is the be selected. The number of ways in which th...
From 4 gentlemen and 6 ladies a committee of five is the be selected. The number of ways in which the committee can be formed so that gentlemen are in majority is
A
66
B
156
C
60
D
None of these
Answer
66
Explanation
Solution
The committee will consist of 4 gentlemen and 1 lady or 3 gentlemen and 2 ladies.
∴ The number of committees = 4C4 × 6C1 + 4C3 × 6C2 = 66