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Question

The number of four letter words that can be formed using the letters of the word BARRACK is

A
120
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B
270
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C
264
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D
144
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Solution

The correct option is B 270
Case 1:
If all four letters are different, then the number of words =5C4×4!=120

Case 2:
If two letters are of same kind and others are different, then the number of words =2C1×4C2×4!2!=144

Case 3:
If first two are same letters and second two are also same letters, then the number of words =4!2! 2!=6

Hence, total number of words =120+144+6=270

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