How many permutations are there of the letters, taken all at a time, if the words
(a) ASSESSES
(b) PATTIVEERANPATTI
Ans:
(a) $$\frac{8!}{5!\cdot2!} = 168$$
(b) $$\frac{16!}{2!\cdot3!\cdot4!\cdot2!\cdot2!}$$
Are these the correct answers?
[Math] How many permutations are there of the letters, taken all at a time, if the word
permutations
Best Answer
Yes your answers are correct.
If you had 8 different letters there would be 8! ways of arranging them. However there are 5 S's so these can be interchanged in 5! ways. Similarly there are 2 E's so these can be interchanged in 2! ways.
Same argument for the second answer.