How many different ways can the word Mississippi be arranged?

How many different ways can the word Mississippi be arranged?

In the word MISSISSIPPI, there are 4 I’s, 2 P’s, 4 S’s. And the total number of letters including the repetitions is 11 letters. So the total number of ways in which it can arrange is 11!.

How many distinguishable permutations are possible with all the letters of Mississippi?

There are 34,650 distinguishable permutations can be made from the letters of MISSISSIPPI.

How many distinguishable permutations can be made from the letters of the word love?

In 24 distinct ways, the letters of word “LOVE” can be arranged.

How many letter permutations are there in Mississippi?

You have 1 M, 2 P’s, 4 I’s and 4 S’s in the word MISSISSIPPI. Suppose you picked the two P’s and four I’s, the number of permutations would be 6! 4! 2!. However, we need to sum over all possible selections of 6 letters from this group.

How to calculate the number of permutations of a letter?

Start by removing the S’s and finding the permutations of the remaining letters using the Multinomial Theorem. We have 7 letters with 4 I’s and 2 P’s, so that’s a total of 105 permutations. Next add blanks before and after each letter to represent places we can insert S’s.

How many letters are in the word Mississippi?

Total no. of permutations of the letters of the words M I S S I S S I P P I in which no four I, s come together. Total no. of the permutations of the words is = 11! 4! × 4! × 2! Now Total no. of permutations of the word, in which four I, s come together = 8! 4! × 2!.

What causes repeated arrangements of letters in Mississippi?

First determine what causes repeated arrangements. This comes from letters that occur more than once. For MISSISSIPPI that includes 2 P’s, 4 I’s, and 4 S’s. Let’s start with the P’s. For every permutation, we can make an identical permutation with the P’s in opposite positions.