Permutations and Combinations

Question

How many different words can be formed out of the letters of the word ‘COMBINE’ so that:

(i) vowels always remain together ?

(ii) no two vowels are together ?

(iii) vowels may occupy odd places ?


Answer

Solution not provided.
Ans. (i) 720
       (ii) 1440
        (iii) 576

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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.