Could someone please confirm my answer?
To solve this problem, we can use the concept of distributing identical items (exercise books) to distinct recipients (students) with a constraint (each student must receive at least one book).
Since each of the 5 students must receive at least one book, we first give one book to each student. So we are left with 13 - 5 = 8 books.
The problem becomes one of distributing 8 identical books among 5 students without any restrictions.
To my understanding, the formula for the number of ways to distribute n identical items among k recipients is:
(n + k - 1 k - 1)
In our case:
(8 + 5 - 1 5 - 1)
which equals to 495.
Am I getting it right?
