How many different groups consisting of 5 men and 2 women can be formed from a pool of 7 men and 3 women?

Explanation

To form the group, select 5 men out of 7 (which can be done in 21 ways) and 2 women out of 3 (which can be done in 3 ways). Multiplying these gives 21 × 3 = 63 possible groups.