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Permutation and Combination Conceptual Question

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5 balls are to be put in 3 boxes. In how many ways can this be done if:-
a)Balls are identical and boxes are different
b)balls are different and boxes are identical
c)both boxes and balls are different
d)both boxes and balls are identical
in which of the above cases the formulae (n+r-1)C(r-1) be applied?

Please explain WITH EXPLANATIONS. I am not very good at this topic. Thanks
I had one of the question in the CAT books. But this raised doubt about similar four cases. Kindly help me as i m way too confused.

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