The number of ways in which we can choose a committee from four men an

1.	The number of ways in which we can choose a committee from four men and six women so that the committee includes at least two men and exactly twice as many women as men is(A) 94(B) 126(C) 128 (D) None
Answer» Answer is (A) Number of men = 4; Number of women = 6 It is given that committee includes at least two men and exactly twice as many women as men. So, we can select either 2 men and 4 women or 3 men and 6 women. ∴ Required number of committee formed = ⁴C₂ x ⁶C₄ + ⁴C₃ x ⁶C₆ = 6×15 + 4×1=94

The number of ways in which we can choose a committee from four men and six women so that the committee includes at least two men and exactly twice as many women as men is(A) 94(B) 126(C) 128 (D) None

Answer»

Answer is (A)

Number of men = 4; Number of women = 6

It is given that committee includes at least two men and exactly twice as many women as men.

So, we can select either 2 men and 4 women or 3 men and 6 women.

∴ Required number of committee formed = ⁴C₂ x ⁶C₄ + ⁴C₃ x ⁶C₆

= 6×15 + 4×1=94