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Quantitative Aptitude

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How many 4 le...

Question

How many 4 letter words containing (G) can be formed using letters of DAUGHTER (repetition not allowed).

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Solution

DAUGHTER $\Rightarrow$ All words are different
$∴ . . . . . .} \Rightarrow$ one letter is G
$∴$ No. of ways
$=^{8 - 1} C_{3} . 4!$
$=^{7} C_{3} . 4! = 840$

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