Total number of words that can be formed using all the letters of the word $B R I J E S H$ that neither begins with $I$ nor ends with $B,$ is

3720

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3600

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4920

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4800

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Solution

The correct option is A $3720$
Number of words without restrictions $= 7!$
Number of words beginning with $I = 6!$
Number of words ending with $B = 6!$
Number of words starting with $I$ and ending with $B = 5!$

$∴$ Required number of words $= 7! - (6! + 6! - 5!) = 3720$

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