This exercise refers to a standard deck of playing cards Ass

This exercise refers to a standard deck of playing cards. Assume that 5 card are randomly chosen from the deck. How many hands contain exactly 3 jacks? hands

Solution

5 chosen from 52

We need exactly 3 jacks

So, the no of ways of choosing 3 jacks from 4 jacks = 4C3

No of ways of choosing 2 remaining cards from remaining 48 is 48C2

So, total no of ways =

48C2 * 4C3

4512 hands