## anonymous one year ago How may permutations of the word “spell” are there? There are____________

1. anonymous

can anyone help????????

2. mathmate

The number of permutations with repeats is $$\Large \frac{N!}{n_1!n_2!...n_k!}$$ where N=total number of items k=number of types of items n1,n2...nk=number of items of each type. For unique items, put n=1 Note that $$\sum_1^k n_k = N$$ Example: How many permutations can we form with the word parallel? there are 2a's, 1e, 3l's, 1p, 1r for a total of 8 letters. The permutation is therefore $$\Large \frac{8!}{2!1!3!1!1!}=\frac{40320}{2\times1\times6\times1\times1 }=3360$$ See also following link if you need more explanations: http://www.mathwarehouse.com/probability/permutations-repeated-items.php

3. anonymous

oh dang hold up