Thread: Help IN Explaining a Permutations Question

How many ways can three of the letters in the word 'KANATA' be arranged?

The total number of three letter combinations is supposed to be 34, but I don't understand how to calculate this number.

I thought that it would be 6!/(3!x(6-3)!) = 20 since there are six letters to choose from, but we are limited to choosing only 3 letters and also 3 letters repeat.

Can someone explain to me the logic to solve this?

Originally Posted by zerobladex

How many ways can three of the letters in the word 'KANATA' be arranged?

Find the number of ways with no a's, one a, two a's, and then three a's.
Add those up.