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Permutations And Combinations

Question
CBSEENMA11014268

How many words can be formed by using the letters of word ‘VOWELS’ if 
(a) there is no restriction on letters?
(b) each word begins with E?
(c) each word begins with E and ends with L?
(d) the vowels are together?
(e) all consonants come together?

Solution

Solution not provided.
Ans. (a) 720 (b) 120 (c) 24 (d) 240 (e) 144

Some More Questions From Permutations and Combinations Chapter

Determine K, so that K + 2, 4K – 6 and 3K – 2 are three consecutive terms of an A.P.