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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
=> \( \Large \frac{7 \times 6 \times 5 \times 4}{1 \times 2 \times 3 \times 4} \times \frac{8 \times 7 \times 6 \times 5}{1 \times 2 \times 3 \times 4} \)
= \( \Large 35 \times 70 = 2450 \)
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