Question

The number of words of six letters containing equal number of vowels and consonants, repetition being allowed is

• A. $1157625$
• B. $7452000$
• C. $4200152$
• D. none of these

Answer 1

The correct option is A $1157625$

Number of vowels $=5$

Number of consonants $=21$

Vowels selection $=5^3$

Consonants selection $={21}^3$

Total number of words formed $=1157625$

Hence the correct answer id $1157625$ words.