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

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