Question

In how many ways can the letters in “Mississippi” be arranged?

Answer 1

`34650` ways

Explanation:

The word "Mississippi" contains `11` total letters. If you want to figure out the number of ways to arrange `n` objects, substances, etc., the answer will be `n!`, read out as "`n` factorial".

Know that `n!\=n(n-1)(n-2)...*5*4*3*2*1,ninNN`.

But since there are `4`s's, `4` i's, and `2` p's, we must divide by `4!`, `4!`, and `2!` respectively, to remove any duplicates that will be created.

That leaves the final answer of:

`(11!)/(4!*4!*2!)`

`=34650` ways