Q21 of 30 Page 7

In how many of the distinct permutations of the letters in MISSISSIPPI do the four i’ s not come together?


There are 4I’s , 1M, 4’s and 2P’s

Word is =

                     = 110 × 9 × 35

                     = 990 × 35

                     = 34650

If the I’s occur together,

Then the number of arrangements are

= = 35 × 24 = 840

Hence the number of distinct permutations where the I’s are not together is = 34650– 840 = 33810.

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How many words, with or without meaning can be made from the letters of the word MONDAY, assuming that no letter is repeated, if
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(ii) all letters are used at a time
(iii) all letters are used but first letter is a vowel.

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