Q22 of 30 Page 7

(iii) There are always 4 letters between P and S.

(i) ‘PERMUTATIONS’ is a 12-letter word.

If the first letter and last letter are fixed as P and S the remaining 10 places will be filled in following way:

The number of repeated letters is: T repeated 2 times.

Therefore possible number of ways is: =

= 1814400

(ii) Vowels are all together

When the vowels are together, these 5 letters will form a place in the word together.

Therefore the number of words will be =
==2419200

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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
(i) 4 letters are used at a time
(ii) all letters are used at a time
(iii) all letters are used but first letter is a vowel.

21
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23
If nC8 = nC2, find nC2,

24
Determine n if   (i) 2nC3: nC2 = 12:1   (ii) 2nC3 : nC3 = 11:1.