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Number of words of 4 letters that can be...

Number of words of 4 letters that can be formed with the letters of the word IIT JEE, is

A

42

B

82

C

102

D

142

Text Solution

Verified by Experts

The correct Answer is:
C
There are 6y letters I,I,E,E,T,J
The following cases arise:
Case I All letters are different
`.^(4)C_(4)=4!=24`
Case II Two alike and two different
`.^(2)C_(1)xx.^(3)C_(2)xx(4!)/(2!)=72`
Case III Two alike of one kind and two alike of another kind
`.^(2)C_(2)xx(4!)/(2!2!)=6`
Hence, number of words=24+72+6=102
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