Question

Total number of words that can be formed using all letters of the word $\text{BRIJESH}$ that neither begins with $I$ nor ends with $B$ is equal to.

• A. $4920$
• B. $3720$
• C. $3600$
• D. $4800$

Answer 1

The correct option is B $3720$

Total number of words formed without any restriction $=7!$

Total number of words beginning with $I=6!$

Total number of words beginning with $B=6!$

Total number of words beginning with I and ends with $B=5!$

Therefore, required number of words $=7!-6!-6!+5!$

$=5040-2\times 720+120=3720$