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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 _________, Option: 1 <b

The number of 4 letter words (with or without meaning ) that can be formed from the eleven letters of the word 'EXAMINATION' is _________,
Option: 1 8!
Option: 2 \frac{8!}{2!2!}
Option: 3 3600
Option: 4 2454
 

Answers (1)

best_answer

EXAMINATION       2N, 2A, 2I, E, X, M, T, O

Case I     All are different: so ^8C_4 . 4!=1680

Case II    2 same and 2 different: so ^{3} \mathrm{C}_{1} \cdot^{7} \mathrm{C}_{2} \cdot \frac{4 !}{2 !}=756

Case III    2 same of first kind and 2 same of second kind: so ^{3} \mathrm{C}_{2} \cdot \frac{4 !}{2 ! \cdot 2 !} = 18

Total = 2454

Correct Option (4)

Posted by

vishal kumar

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