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Basic Adding Patterns in an AP

The number of...

Question

The number of permutations formed without changing the position of vowel and consonants of the letters of word 'ALGEBRA'-

A

144

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B

70

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C

360

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D

72

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Solution

The correct option is A $144$
$A L G E B R A$
No. of consonants $= 4$
No. of vowels $= 3$
$∴$ No. of permutations $= 4! \times 3!$
$= 24 \times 6 = 144$

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