Question

determine the number of permutations can be made out of the letters of the word
"PROGRAMMING"​

Answer 1

Answer:

(11!)/(2!2!2!) = 4989600

Step-by-step explanation:

please refer to the attachment

Answer 2

Answer:

4,989,600

Step-by-step explanation:

We have to find out permutation of letters of word "PROGRAMMING"​.

Total number of letters = 11

Repeating letters are R = 2 times, M = 2 times, G = 2 times.

Total permutations = (Total no. of letters)!/(no. of times letters repeating)!

                                    = 11!/(2!×2!×2!)

                                    = 4,989,600

∴ Total number of permutations of letters of word "PROGRAMMING"​ are 4,989,600.

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