1\frac{6!}{3!.1!.1!.1!}=120
in how many ways can the letters of the word CINEMA be arranged so that the order of vowels do not change?
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3 Answers
11See, if u take the number of letters between E and A as x, the number of letters after A as y, and the number of letters before E as z, then we have
x+y+z=4, where x,y and z are non-negative integers.
So the ans is 4!.k, where k is the number of non-negative solutions to the above eqn.
Understood?