Q 2663501445.     Consider the letters of the word `MATHEMATICS`. There are eleven letters some of them are identidical. Letters are classified as repeating and non-repeating letters. Set of repeating letters `= {M, A, T}`. Set of non-repeating letters `= {H, E, I, C, S}`

Possible number of words in which no two vowels are together, is

A

`(7!)/(2! 2!) * text()^8 C_4 (4!)/(2!)`

B

`(7!)/(2!) * text()^8 C_4 * (4!)/(2!)`

C

`7! * text()^8 C_4 * (4!)/(2!)`

D

`(7!)/(2! 2!2!) * text()^8 C_4 * (4!)/(2!)`

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