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In how many different ways a group of 4 men and 4 women be formed out of 7 men and 8 women?

A) 2450
B) 105
C) 1170
D) Cannot be determined

Correct Answer:

A) 2450

Description for Correct answer:
4 men out of 7 men and 4 women out of 8 women can be chosen in

\( \Large ^{7}C_{4} \times ^{8}C_{4} \)ways

=> \( \Large \frac{7 \times 6 \times 5 \times 4}{1 \times 2 \times 3 \times 4} \times \frac{8 \times 7 \times 6 \times 5}{1 \times 2 \times 3 \times 4} \)

= \( \Large 35 \times 70 = 2450 \)

Part of solved Permutation and combination questions and answers : >> Aptitude >> Permutation and combination

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