If the letters of the word CHASM are rearranged to form 5 letter words such that none of the word repeat and the results arranged in ascending order as in a dictionary what is the rank of the word CHASM ? Select:
A) 32
B) 76
C) 29
D) 27
E) 11
Explanation:   The 5 letter word can be rearranged in 5!=120 Ways without any of the letters repeating.   The first 24 of these words will start with A.   Then the 25th word will start will CA _ _ _.   The remaining 3 letters can be rearranged in 3!=6 Ways. i.e. 6 words exist that start with CA.   The next word starts with CH and then A, i.e., CHA _ _.   The first of the words will be CHAMS. The next word will be CHASM.   Therefore, the rank of CH32SM will be   24+6+2= 
<gadget id="calculator">  24+6+2</gadget>
<output>32</output>
32   32nswer: 32) 32
<result>A</result>
If the letters of the word CHASM are rearranged to form 5 letter words such that none of the word repeat and the results arranged in ascending order as in a dictionary what is the rank of the word CHASM ?