CSC Company Numerical Ability Permutation and Combination

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

A. 32 B. 48
C. 36 D. 60
E. 120

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CSC Other Question

In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together?

A. 10080 B. 4989600
C. 120960 D. None of these
In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?

A. 810 B. 1440
C. 2880 D. 50400
E. 5760