To form a committee of 2 girls and 3 boys from 5 girls and 7 boys:
Step 1: Combinations for Girls = 5C2 = 5!(5−2)!2! = 10
Step 2: Calculate the Combinations for Boys = 7C3 = 7!(7−3)!3! = 35
the total number of ways to form the committee, multiply the combinations of girls and boys: 10 x 35 = 350ways
The total number of ways to form the committee is: 350.
