Question

in how many ways we can permute the letter of word INSTITUTE
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Answer 1

Step-by-step explanation:

I N S T U E

2 1 1 3 1 1

From these I have to select 5.I can have following cases.

Case1:

Taking 1 from each and taking 1 from either I or T .

The given combination and arrangements can be 6C5 . 5!

Similarly,other cases can be

Case 2: 1,1,1,2 arrangements : 5!/2!

Case 3: 1,1,3 arrangements :5!/3!

Case 4: 1,2,2 arrangements :5!/2! . 2!

Case 5: 2,3 arrangements :5!/2! . 3!

I can calculate arrangements but I am unable to calculate selections for the Cases 2,3,4,5

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