How many permutations can be made of the letters of the following word "proposition" when taken all at a time?
a) 11! /24
b) 11! /12 1
c) 1! /6

11!/24 permutations can be made of the letters of the following word "PROPOSITION" when taken all at a time by using the permutation formula. This problem can be solved using the permutation formula (Total number of the alphabet)!/(repetition of P letter)!(repetition of O letter)!(repetition of I letter)! resulting in 11!/2!*3!*2! = 11!/24. Permutation is a term used for describing the method for arranging all members of some set into some sequence or order and in this problem, letter P, letter R, letter O, letter S, letter I, and letter N are the members of the set and the combination of these letters is the sequence or order.

)because it's going in order of the math sign

Multiply 9 and 67. then multiply 3 with 67. lastly the answer that you got for 9x67 is to be subtracted by the answer you got for 3x67