The number of words of four letters containingequal number of vowels and consonants, where repetition is allowed, isa. `105^2`b. `210xx243`c. `105xx243`d. `150xx21^2`A. `105^(2)`B. `210xx243`C. `105xx243`D. none of these

The number of words of four letters containingequal number of vowels a

1.	The number of words of four letters containingequal number of vowels and consonants, where repetition is allowed, isa. `105^2`b. `210xx243`c. `105xx243`d. `150xx21^2`A. `105^(2)`B. `210xx243`C. `105xx243`D. none of these
Answer» A for letter word containing equal number of vowels and consonants may contain one vowel and one consonant of four letter words containing one vowel and one consonant `=""^(5)C_(1)xx""^(21)C_(1)xx(4!)/(2!2!)` The number of four letter words containing two vowels and two consonants `=""^(5)C_(1)xx""^(21)C_(2)xx4!` Hence, required number of words `=""^(5)C_(1)xx""^(21)C_(1)xx(4!)/(2!2!)+""^(5)C_(2)xx""^(21)C_(2)xx4!` `=105xx6+10xx210xx24=210(3+240)=210xx243`

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The number of words of four letters containingequal number of vowels and consonants, where repetition is allowed, isa. `105^2`b. `210xx243`c. `105xx243`d. `150xx21^2`A. `105^(2)`B. `210xx243`C. `105xx243`D. none of these

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