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Q.

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

answer is D.

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Detailed Solution

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