If the letters of the word PLACE are arranged taken all at a time, find how many do not start with AE.  Choose the correct choice from the following answers.
A) 110 B) 112 C) 114 D) 116 E) 119
Total no' of arrangements 5P5 = 5! = 120   no' of arrangements start with AE = 1 × 6 = 6   no' of arrangements which do not start with AE = 120 - 6= 
<gadget id="calculator">120 - 6</gadget>
<output>114</output>
114.   114
<result>C</result>
If the letters of the word PLACE are arranged taken all at a time, find how many do not start with AE.