Question

Suppose you have 24 items (three red, three blue, three yellow, and three green) to give to 24 students. How many different ways can you distribute the things to the students? (Note: the items of the same color are identical)

Answer 1

Since 24 items are distributed to 24 students, I am assuming that each student gets one item. Please let me know in the comment section if this assumption is wrong.

This problem can be translated into an easy problem.
Assume, we have letters: three R's, three B's, three Y's, three G's
We have 24 blank locations for 24 letter word ( _ _ _ _ ), Assume Each blank location is a student, each letter is an item.
letter R: Red item
letter B: Blue item
letter Y: Yellow item
letter G: Green item

The number of ways to distribute things to students is the same as The number of different words that can be formed using the 24 letters

We have three R's, three B's, three Y's, three G's

Since 24 letters are there, we have numerator 24!, since each letter is repeated 3 times, repetitions are taken care of by dividing permutations by 3! for each letter.

The number of ways to distribute things to students =

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