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## Permutations & Combinations

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In how many different ways can the letters of the word “RADIUS” be arranged in such a way that the vowels occupy only the odd positions?

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Permutations & Combinations
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## Answers ( 6 )

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Vowels are A,I,U In “RADIUS”

3 Different vowels 3 different ways we can arrange so “3!” Ways..

_R_D_S_===odd places are 4 so we can arrange “4!” Ways…

Radius arrangement is 6! Ways….

Now 6!-4!*3!=576 Ways

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36

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36

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3!*3!= 36 ways

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36

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3*3*2*2*1*1 = 36

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36