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1. Find the number of distinguishable permutations of the letters in the word PHILIPPINES​

Sagot :

Answer:

1,108,800 distinguishable permutations

Step-by-step explanation:

There are 11 letters in the word "Philippines", so we will have 11!

Notice that we also have 3 "P's" and 3 "I's", hence we will have two 3!

We are talking about permutations, therefore we will divide 11! with two 3!

11!/(3!•3!) = 1, 108, 800