Question

determine the number of permutations of the letter of the word HEXAGON taken all at a time

Answer 1

p(n;m1,m2,m3......mk)
=n!/m1!m2!....,mk!
here there are 7 letters of which is H=1,E=1,X=1,A=1,G=1,O=1,N=1
required number of permutation is
7!/1!1!1!1!1!1!
=1*2*3*4*5*6*7/1*1*1*1*1*1*1
=1*2*3*4*5*6*7
=5040.