Distributing 22 Coupons Among 6 Students With Exactly Three Getting Five

Company: Deloitte USI_5sep

Difficulty: hard

Problem Statement

Question 1

In a college fest, 22 identical coupons are to be distributed among 6 students such that each student gets at least 2 and at most 5 coupons. Exactly three students must receive exactly 5 coupons. In how many ways can this be done?