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  • The number of words of four letters containing equal number of vowels and consonants, where repetition is allowed, in english language are  Option

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

 

Option: 1

105


Option: 2

 210 x 243


Option: 3

 105 x 243

 


Option: 4

150 \times 21^2


Answers (1)

best_answer

Let us first select two places for vowels, which can be selected from 4 places in  4 C_2 ways. Now these places can be filled by vowels in ways as repetition is allowed. The remaining two places can be filled by Consonants in ways. Then the total number of words is

4 P_2 \times 21 \times 21=150 \times 21^2

Posted by

vishal kumar

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