Question

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

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

Answer 1

Answer: (A)

Total words, without any restriction $=7!$
Total words beginning with $I=6!$
Total words ending with $B=6!$
Total words beginning with I and ending with $B=5!$
Thus, total number of required words $=7!-6!-6!+5!$
$=7!-2(6!)+5!$