In how many ways can the letters A, M, A, Z, O, N be arranged so that the two A's are not next to each other?
Choose the correct choice from the following.
A) 36  B) 48  C) 72  D) 96  E) 240
2 A   1 M   1 Z   1 O   1 N   Number of ways these letters can be arranged = 6!/2! (2! to account 2 same As) = 360   Consider 2 As as 1 entity and thus the number of arrangements for (AA)MZON = 5! = 120   Total allowed cases = 360-120= 
<gadget id="calculator">360-120</gadget>
<output>240</output>
240   240 is the correct answer.
<result>E</result>
In how many ways can the letters A, M, A, Z, O, N be arranged so that the two A's are not next to each other?