In how many ways can the letters of the word MISSISSIPPI be arranged?
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
In how many ways can the letters of the word MISSISSIPPI be arranged?
Need a reminder? The key ideaShow
When objects are alike of one kind, alike of another and so on, objects have arrangements. To keep alike objects together, glue them into one block, which has one order inside.
The worked solution
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. Count the letters. in all: M once, I four times, S four times, P twice.
Step 2. The formula. Divide by for the I's, for the S's and for the P's.
Step 3. Work it out. .
Answer: arrangements.
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