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The number of words of four letters containing equal number of vowels and consonants, where repetition is allowed, is

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a
1052
b
210 x 243
c
105 x 243
d
150 x 212

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detailed solution

Correct option is D

Let us first select two places for vowel, which can be selected from 4 places in 4C2, ways. Now this places can be filled by constants in 21 x 21 ways as repetition is allowed.  The remaining two places can be filled by consonants in  4C2×25×212=150×212.


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