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Q.

The number of 4 letter words (with or  Without meaning) that can be formed    from the eleven letters of the word EXAMINATION is__

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a

2445

b

2544

c

2454

d

4245

answer is D.

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Detailed Solution

EXAMINATION

No.of A’s 2
No.of I’s 2
No.of N’s 2
 1
E  1
 1
T’s 1
O’s  1
No.of different letters = 8
i) All different = 8p4  = 1680
ii) 2same, 2 different

3C1×7C2×4!2!=756

iii) 2same, 2same

3C2×4!2!2!=18
Total =1680+756+18=2454

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The number of 4 letter words (with or  Without meaning) that can be formed    from the eleven letters of the word EXAMINATION is__