In how many ways the letters in the word MANAGEMENT can be arranged such that A’s does not come together.
Choose the correct choice from the following:  A) 181440  B) 191440  C) 171440  D) 182440  E) 185440
Methods to arrange all the letters leaving 181440 = 8*7*6*5*4*3*2*1/(2*1)*(2*1)*(2*1)= 5040   Now between these 8 letters , there are 9 places so methods to place 181440 and 181440 in these positions = 9*8/2*1= 
<gadget id="calculator">9*8/2*1</gadget>
<output>36</output>
36   thus total methods are   5040*36= 
<gadget id="calculator">  5040*36</gadget>
<output>181_440</output>
181440   181440NSWER:181440
<result>A</result>
In how many ways the letters in the word MANAGEMENT can be arranged such that A’s does not come together.