Quantitative Aptitude Ques 1999

Question: In how many ways can a consonant and a vowel be selected out of the letters of the word ‘WHEAT’?

Options:

A) $ 3!+2! $

B) $ 3!2! $

C) $ 3\times 2 $

D) $ 3^{2} $

Show Answer

Answer:

Correct Answer: C

Solution:

  • Number of consonants $ =3 $ Required number of ways for selecting one consonant $ ={}^{3}C _1 $ Number of vowels $ =2 $ Required number of ways for selecting one vowel $ ={}^{2}C _1 $

$ \therefore $ Required number of ways $ ={}^{3}C _1\times {}^{2}C _1=3\times 2 $

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