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Question

If 2 are alike and the other 2 distinct

A
1764
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B
2511
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C
2500
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D
3087
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Solution

The correct option is A 1764
We need to form words of 4 letters such that 2 letters of same kind ξ 2 different.
We have 4 letters that repeat (I,S,T,L).
We must choose only one of them =4C1=4
Now excluding the chosen letter we have 7 distinct letters out of which we must choose 2=7C2=21
Total =4C1×7C2=4×21=84.
Now these chosen letters can be rearranged in 4!2! ways =242=12
Required =84×21=1764.
Hence, the answer is 1764.

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