In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
A. 63
B. 90
C. 126
D. 45
E. 135
Answer: Option A
Solution(By Examveda Team)
$$\eqalign{ & {\text{Required number of ways}} \cr & = {{}^7{C_5} \times {}^3{C_2}} \cr & = {{}^7{C_2} \times {}^3{C_1}} \cr & = {\frac{{7 \times 6}}{{2 \times 1}} \times 3} \cr & = 63 \cr} $$Related Questions on Permutation and Combination
A. 3! 4! 8! 4!
B. 3! 8!
C. 4! 4!
D. 8! 4! 4!
A. 7560,60,1680
B. 7890,120,650
C. 7650,200,4444
D. None of these
A. 8 × 9!
B. 8 × 8!
C. 7 × 9!
D. 9 × 8!
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