Question 983589
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?

Solution:
Scenarios: 
1 man and 2 women
2 men and 1 woman

{{{(matrix(2,1,5,1))(matrix(2,1,3,2)) + (matrix(2,1,5,2))(matrix(2,1,3,1))}}}
=5*3 + 10*3
= {{{highlight(45)}}}