Question

If the different permutations of all letters of the word $BHASKARA$ are listed as in a dictionary, how many strings are there in this list before the first word starting with $B$?

Answer 1

In dictionary$,$ words are given alphabetically we need to find words starting before $B$ i.e, starting with $A.$

In $BHASKARA$ there is $A,$

There are $8$ letter in $BHASKARA$ of which $A$ is repeating $3$ times$,$

Since letter are repeating $=\frac{n!}{p_1!p_2!p_3!}=\frac{8!}{3!}=6720.$