What is the 32nd word of "WAITING" in a dictionary?
Choose the correct choice:
A) AIWTNG	B) AGNTWI	C) AIGNWT	D) AGNTIWI	E) None of these
Explanation :   Arranging the words of waiting in Alphabetical Order : A,G,I,I,N,T,W Start with A_ _ _ _ _ _ This can be arranged in 6!/2! ways=720/2= 
<gadget id="calculator">720/2</gadget>
<output>360</output>
360 ways so can't be arranged starting with A alone as it is asking for 32nd word so it is out of range AG_ _ _ _ _then the remaining letters can be arranged in 5!/2! ways so,120/2=60 ways. Out of range as it has to be within 32 words. AGI_ _ _ _ Now the remaining letters can be arranged in 4! ways =24 AGN _ _ _ _ can be arranged in 4!/2! ways or 12 ways so,24+12 =36th word so out of range. So we should not consider all the words start with AGN now AGNI_ _ _can be arranged in 3! ways =6 ways so 24+6= 
<gadget id="calculator">24+6</gadget>
<output>30</output>
30 within range Now only two word left so, arrange in alphabetical order. AGNTIIW - 31st word AGNTIWI - 32nd word   Answer : AGNTIWI
<result>D</result>
What is the 32nd word of "WAITING" in a dictionary?