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Number of words that can be made with th...

Number of words that can be made with the letters of the word `"GENIUS"` if each word neither begins with `G` nor ends in `S` is

A

`24`

B

`240`

C

`480`

D

`504`

Text Solution

Verified by Experts

The correct Answer is:
D
`(d)` First we have to find all the arrangement of the word `'GENIUS'`.
`6!=720`
Number of arrangements which either start with `G` or end with `S` is
`(5!+5!-4!)=(120+120-24)=216`
Hence, total number of arrangments which neither start with `G` nor end with `S` is
`(720-216)=504`
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