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In how many ways can a delegation of 3 be chosen from 5 men and 3 women. If at least 1 ...

In how many ways can a delegation of 3 be chosen from 5 men and 3 women. If at least 1 man and 1 woman must be included?
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  • A 15
  • B 28
  • C 30
  • D 45
Correct Answer: Option D
Explanation:

= \((^{5}C_{2} \times ^{3}C_{1}) + (^{5}C_{1} \times ^{3}C_{2})\)

= \((10 \times 3) + (5 \times 3)\)

= 45.

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