Consider the letter WANDER

how many do not beign with WA use permutation

1 answer

There are 5 letters in the word WANDER. To find the number of permutations that do not begin with WA, we need to subtract the permutations that do begin with WA from the total number of permutations.

The total number of permutations of the 5 letters is 5! = 120.

To find the permutations that begin with WA, we can treat WA as a single letter. This gives us 4 letters to permute: WA, N, D, E, and R. The number of permutations of these 4 letters is 4! = 24. However, we need to multiply this by 2 to account for the fact that WA can be rearranged as AW. So there are 2 × 24 = 48 permutations that begin with WA.

Therefore, the number of permutations that do not begin with WA is 120 - 48 = 72.