A total number of words which can be formed out of letters a,b,c,d,e,f taken 3 together such that ea

English

Gujarati

Hindi

6.Permutation and Combination

easy

A total number of words which can be formed out of the letters $a,\;b,\;c,\;d,\;e,\;f$ taken $3$ together such that each word contains at least one vowel, is

A

$72$

B

$48$

C

$96$

D

None of these

Solution

(c) The required number of words is

${(^2}{C_1}{ \times ^4}{C_2}{ + ^2}{C_2}{ \times ^4}{C_1})3\;!\; = 96$.

Standard 11

Mathematics

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