Question

The number of permutations that can be formed from all the letters of the word 'BASEBALL' is:

• A. $540$
• B. $1260$
• C. $3780$
• D. $5040$

Answer 1

The correct option is D $5040$

There are $8$ letters in the word 'BASEBALL' in which there are 2B, 2A , 2L ,1S and 1E.
So, the required no. of permutations that can be formed $=\frac{8!}{2!\cdot 2!\cdot 2!\cdot 1!\cdot 1!}=5040$
Hence, D is the correct option.