If is the no of different types of words can you generate from the word , in which :
Give your answer as sum of all digits of
Clarification :
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SESQUIPEDALIANISM, this word can be rephrased as follows according to the question SSQPDLNSM(EUIEAIAI) So if you consider all the vowels together as 1 letter, you have 10 words. So this can be written in 10! ways. The vowels itself can be written in 8! ways, as there are 8 vowels. Now look at the following SS QPDLN S M ( E U I E A I A I ) So, S repeats 3 times, E 2 times, I 3 times, A 2 times ∴ Total no of ways, n = 3 ! × 2 ! × 3 ! × 2 ! 1 0 ! × 8 ! ⟹ n = 1 0 1 6 0 6 4 0 0 0 ∴ Sum of digits = 1 + 0 + 1 + 6 + 0 + 6 + 4 + 0 + 0 + 0 = 1 8