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Find the number of permutations of word DEPENDENT.(a) 132400(b) 1512500(c) 1663200(d) 1723400I have been asked this question in quiz.The question is from Permutations-1 in division Permutations and Combinations of Mathematics – Class 11

Answer»

Correct CHOICE is (c) 1663200

To explain: There are total 9 letters out of which 1T, 2N, 2D, 3E, 1P.

Total number of permutations are \(\FRAC{9!}{3!2!2!} = \frac{9.8.7.6.5.4.3.2.1}{6*2*2} = \frac{362880}{24}\) = 15120.



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