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Find the number of distinguishable permutations of the letters PEPPERONI. NO LINKS!!!!​

Sagot :

Answer:  30,240

This is is one value (and not two values separated by a comma) and it's slightly over 30 thousand.

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Explanation:

There are n = 9 letters in the word "PEPPERONI"

If we could tell all the letters apart, there would be 9! = 9*8*7*6*5*4*3*2*1 = 362,880 permutations, and that would be the answer.

However, we have repeated letters that we cannot tell apart. The P shows up a = 3 times, and the E shows up b = 2 times. So we need to divide by a!*b! = 3!*2! = 6*2 = 12 to correct for the overcounting. That leads to the final answer of (362,880)/(12) = 30,240

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