Latest HCL Aptitude Question SOLUTION: The letters of the word WOMAN are written in all possible orders and these words are written out as in a dictionary ,then the rank of the word 'WOMAN' is a. 117 b. 120 c. 118 d.

No of words beginning with A : 4!
No of words beginning with M : 4!
No of words beginning with N : 4!
No of words beginning with O : 4!
No of words beginning with WA : 3!
No of words beginning with WM : 3!
No of words beginning with WN : 3!
No of words beginning with WO : 3!
No of words beginning with WOA : 2!
No of words beginning with WOMAN :1

So, RANK of WOMAN =4(4!) + 3(3!)+2! + 1
=96+18+2+1
=117 ....option A

@KAROLINE LEMINA :

Hello......Look what i've actually done is that i've arranged the letters of WOMAN in alphabetical order.......i.e. A,M,N,O,W.......We need to determine A word beginning with W....now imagine as if u were reading a dictionary....so if we start counting.....to reach upto Woman....we shall first count all words that come b4 it.....OBviously all words beginning with A,M,N,O will be b4 the rquired word........so we count their nos......this turns out to be...4(4!)...
Now, nEXT POSSIBLE WORD WILL BEGIN WITH W....Now you won't count all the words of W since ur reqd. word is somewhere in this list......so you again move alphabetically......You will come across word with WA,WM,WN before u get Wo...so another 3(3!) words.....(NOTE : kiNDLY IGNORE THE LINE NO. 8 OF MY SOL....IT'S NOT TO BE CONSIDERED...I'VE WRITTEN IT BY MISTAKE....)........now u will read words with WO.... Again u'll first get words with WOA b4 getting the actual WOM....this gives another 2! words.......now we have reached till WOM...nxt word will be WOMA....that's what we are looking for so we go further ahead to see the nxt alphabetical-wise letter......i.e N....so we get WOMAN ..another 1 to add to our count....
so , total =4(4!)+3(3!)+2!+1=117.....HOpe,i've cleared ur doubt.....:)

It is simple last word after performing 5!=120 ie wkt at last rank all are in descending order so
1st exchange last letters
120 rank WONMA
119 rank WONAM
exchange 3rd letter with previous element of N ie M and again exchange last two element.
118 rank WOMNA
117 rank WOMAN
SO Ans=117 rank.

a)117
Total words=120
Last 3 words are WOMNA,WONAM,WONMA. Just before there the words, word woman will come.

Total Words 120 .So each letter have 24 Words .24 words start with A,24 words start with M etc....W is in last letter.So WOMAN came in last 24 words.WOXXX.There will 6 words start with WO ,so WOMAN came in last 6 words.WOMXX.Since 2 words start with WOMXX ,But M is in between A & N so ,WOMAN may 117th or 118th words. WONAM and WONMA are the last 119 and 120 th words .
WOMAN is the 117th Words because WOMNA come 118

b.120

The word WOMAN contain 5 letters..
so, the possible words arw = 5*4*3*2*1
=120

@ Himanshu Gupta:

Hi sir I had 1 doubt y u didnt take No.of words beginning with W...?

ans is 117 fix it

@KAROLINE LEMINA
for the word "rachit"
order in dictionary -->A,C,H,I,R,T
No of words beginning with A : 4!
No of words beginning with C : 4!
No of words beginning with H : 4!
No of words beginning with I : 4!

Then the word rachit comes in dictionary, so 4*(4!) + 1=97 is the answer to ur q

ans=120
5!=120

Answer is 117

DO THE SAME THING FO THE WORD."KRITI"

answer is a. 117.
solution is:-
total words formed in order starting with W, M, N, O and A will be 24+24+24+24+24=120.
starting with A, i.e. A_ _ _ _, words formed are 24 i.e. 4!.
similarly starting with M,N,O in order are 24, 24 and 24.
so, total words formed are 24+24+24+24=96.
now, starting from W, in order, W_ _ _ _, starting with WA, words are 6 i.e. 3! - WAMNO,WAMON, WAONM, WAOMN, WANOM, WANMO.
similary in order, words formed by WM, WN are 6 and 6 .so, total words till formed are 6+6+6=18.
so, 96+18=114
now, starting with WO in order, 115-WOAMN,116- WOANM, 117-WOMAN, 118-WOMNA, 119-WONAM and 120-WONMA.
so, WOMAN is at position 117.

@Himansu Gupta:
. If the letters of the word "rachit" are arranged in all possible ways and these words are written out as in a dictionary,
what is the rank of the word "rachit".
Please Help Me

@kriti kumari
ur answer is 32

https://www.youtube.com/watch?v=Ni24yuaMHv0
WATCH IT U'LL UNDERSTAND THE PROCEDURE TO SOLVE

117
Word with A 24
Word with M 24
Word with N 24
Word with 0 24
Word with WA 6
Word with WM 6
Word with WN 6
Word with WOA 2
Word with WOMAN 1

POSSIBLE ORDERS OF W O M A N are 120 i.e, 5!=120
possible arrangements of WOMAN comes in 117. Because 117-WOMAN ,118-WOMNA,119-WONAM,120-WONMA .
By dictionary order answer is 117.