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Question

In how many ways, the letters of the word 'SACRED' can be arranged so that vowels come together?

A
240
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B
120
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C
320
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D
720
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E
None of these
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Solution

The correct option is A 240

The word 'SACRED' consists of 4 consonants (SCRD) and 2 vowels (AE). On keeping vowels together, we get SCRD (AE)
Number of arrangements = 5 ! × 2 !
=5×4×3×2×1×2×1
= 240


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