Mathematics

In how many ways can a delegation of 3 be chosen from 5 men and…

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?

  • 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.