Rank of the word ANXIETY in the dictionary of the words formed by letters of the word ANXIETY taken

M4maths Previous Puzzles

18 Aug 2016 Rank of the word

Rank of the word ANXIETY in the dictionary of the words formed by letters of the word ANXIETY taken all letters of the word.

OPtion

1) 320
2) 322
3) 324
4) 319
5) 313
6) 341
7) 329
8) 372
9) 399
10)301

Solution

Total words = 7*6*5*4*3*2*1 = 5040
Rank of ANXIETY (Letter are A, E, I, N, T, X, Y)
5040/7 * 0 + 720/6 * 2 + 120/5 *3 + 24/4 * 1 + 6/3 * 0 + 2/2 * 0 + 1/1 * 0+1
0+240+72+6+0+0+0+1
= 319
Option 4)

Correct Option: 4 Best Solution (19)

DEVANSH SUBNANI   8 years AGO

AE->5!=120
AI->5!=120
ANE->4!=24
ANI->4!=24
ANT->4!=24
ANXE->3!=6
ANXIETY
So,Rank is =120+120+24+24+24+6+1=319
Option 4)

Like? Yes (1) | No   

ABHISHEK KUMAR   8 years AGO

no of words from AE =5!
from AI =5!
from ANE=4!
from ANI=4!
from ANT=4!
from ANXE=3!
and finally +1 for last word ANXIETY
ie Rank of ANXIETY is 319.

Like? Yes | No   

Aakash Beniwal   8 years AGO

first word will be... AEINTXY
, NOW FIX 'E' AT SECOND POSITION AND THEN 'I AND SO ON....
SIMILARLY FOR 3RD POSITION...
In this way ,possible way are 5! + 5! + 4! + 4! + 4! +3! +1=319

Like? Yes | No   

Vipul kumar   8 years AGO

=2×5! + 3×4! +1×3! +1
=240+72+6+1
= 319

Like? Yes | No   

aishwarya pandey   8 years AGO

6!*0 +5!*2 + 4!*3 + 3!*1 + 2!*0 + 1!*0 + 0!*0 + 1
=319
because ANXIETY = 1463257 this no. priority is given according to for ex. as no no. is smaller than A so it is 1 then E comes at 2 and I comes at 3 and so on ....

Like? Yes | No   

Ponni   8 years AGO

AN=2*5!=240
ANI=ANE=ANT=3*4!=72
ANXE=3!=6
ANXIETY=1
=240+72+6+1
=319

Like? Yes | No   

aishwarya pandey   8 years AGO

A N X I E T Y
1 4 6 3 2 5 7................ i)

0 2 3 1 0 0 0 ......... ii) THIS PRIORITY IS GIVEN BASED ON NO. OF LOWEST TERMS AFTER A NO. for eg as no no. is less than 1 after so A gets 0 and N gets 2 because there are two no. 3 and 2 less than 4 (seen from i) and so on and then appoint them as
A N X I E T Y
6! 5! 4! 3! 2! 1! 0! ...................... iii)
starting from 0! from right side and then we multiply and ii) and iii)
like- 6!*0 + 5!*2 + 4!* 3 + 3!*1 + 2!*0 + 1!*0 + 0!*0
= 319
this only applies in case of non repition of any letter in given term...

Like? Yes | No   

Garima Mathur   8 years AGO

words starting with AE_ _ _ _ _ will come first.
no. of options for that =5!
similary for AI _ _ _ _ _ = 5!
then ANE_ _ _ _=4!
ANI _ _ _ _=4!
ANT _ _ _ _=4!
ANXE _ _ _=3!
ANXIETY comes after that
so rank= 5!+5!+4!+4!+4!+3!+1=319

Like? Yes | No   

Gurjit   8 years AGO

ANXIETY
alphabetical order is: AEINTXY
AE = 5!
AI =5!
ANE = 4!
ANI = 4!
ANT = 4!
ANXE = 3!
ANXIETY = 1
Therefore result is : 5!+5!+4!+4!+4!+3!+1= 319

Like? Yes | No   

Naga   8 years AGO

Words starting with AE = 5!
Words starting with AI = 5!
Words starting with ANE = 4!
Words starting with ANI = 4!
Words starting with ANT = 4!
Words starting with ANXE = 3!
And the required word ANXIETY =1
clubbing all the possibilities gives 319

Like? Yes | No   

Priyaj   8 years AGO

Ae=120
ai=120
an
ani
ane
ant
anx
anxi
anxie
anxiety
ans= 319

Like? Yes | No   

suba   8 years AGO

AE=120,AI=240 SO AN STARTS AFTER 240
ANE=24,ANI=48,ANT=72 SO ANX STARTS AFTER 240+72=312
ANXE=6 SO ANXI STARTS AFTER 312+6=318
ANXIETY WILL BE IN 319 TH RANK

Like? Yes | No   

dona m jose   8 years AGO

arrange letters in alphabetic order AEINTXY
A occure 0*6!
take n,before N there are 2 letter so 2*5!
before X 3 letter,so 3*4!
before I only 1 letter,so 1*3!
before e,t,y no letters=0*2!+0*1!
next word is ANXIETY add 1
0*6!+2*5!+3*4!+1*3!+0*2!+0*1!+=319

Like? Yes | No   

anupama   8 years AGO

the given word ANXIETY,
give the priority according to the alphabet series,
ANXIETY
1463257
and check from the starting
for ex: A
1
we have to see the no which is less than 1 , if the no is there give how many no's are there
else give 0
and come from the right->left
with the factors 0!,1!,2!,3!,4!,5!,6!...
it will be like ANXIETY
1463257

0231000-----(1)
6!5!4!3!2!1!0!-----(2)
multiply 1 and 2 eq's
5!*2+4!*3+3!*1
=318
we have to count the total word,
so 318+1
=319

Like? Yes (1) | No (1)  

yerra anitha   8 years AGO

given word anxiety
arranged in alphabets then aeintxy
now we have to do one short cut i sthere that is :
here n is no. of letters in the word is 7
then we have to do like this
A,E,I,N,T,X,Y and A,N,X,I,E,T,Y
multiple the n-1! to where the letter is find in the actual word ...
6!*0+2*5!+3*4!+1*3!+0*2!+0*1!+0*0!=318
we will find this 319 th postion ..

Like? Yes | No   

Rahul Das   8 years AGO

Numbering the letter of the words according to the dictionary. a-1,n-4,x-6,i-3,e-2,t-5,y-7 then find the no of letter can be formed putting a at 1st poistion and so on then adding after p&c we get =120+72+6=318
then add 1 with 318
we get 319

Like? Yes | No   

Akshat Mokashi   8 years AGO

318+1=319
240+72+6=318
5!*2 + 4!*3 + 3!*1=318

Like? Yes | No (1)  

Sai   8 years AGO

AEINXTY is the actual word
So on forming it in dictionary we get ANXIETY=319

Like? Yes | No (1)  

Mukund Manohar   8 years AGO

Total words formed = 5040
Rank of ANXIETY in the given dictionary
= (5040/7)*0 + (720/6)*2 + (120/5)*3 + (24/4)*1 + (6/3)*0 + (2/2)*0 + 1
=0 + 240 + 72 + 6 + 0 + 0 + 1 = 319

Like? Yes | No (2)