The number of permutations of the letters of the word INSTITUTION are .......

Step-by-step solution

The word INSTITUTION has 11 letters. The frequencies of the letters are: I appears 3 times. N appears 2 times. T appears 3 times. S, U, O appear 1 time each. The total number of permutations is given by 11! 3! 2! 3! . 11! 3! 2! 3! = 39916800 6 2 6 = 39916800 72 = 554400 Answer: 554400