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?.
(a) 485
(b) 480
(c) 478
(d) 481
Answers were Sorted based on User's Feedback
Answer / jitendra singh
the maximum possible combinations for the name rachit is:
6!=720 (as there are no repeated words)
now for r to start in dictionary we have to go through
a,c,h and i so..
a+4 other cominations of words = 5 cominations =120
similarly for c,h,and i
total=120+120+120+120=480 + first word that is rachit... hence answer is 481
Is This Answer Correct ? | 128 Yes | 14 No |
Answer / rithish
arrange rachit in the alphabetical order then it will be
a,c,h,i,r,t
then consider the first word in rachit ...it is r
strike of it and count the number of words before it
a,c,h,i,t so there are 4 words
which is the coefficient of 5!
then go for "a"(as it is the second letter in the word )
..strike it off and count the number of words before it in
the arranged order as did earlier ..there will be zero
so 0 ,which is the coefficient of 4 !
and similarly consider all
the answer will be
4*5!+0+0+0+0+1=481....
Is This Answer Correct ? | 34 Yes | 12 No |
Answer / gangadhar
ans is 481
rachit is a 6 words
in dictionary letter was start with r
remaining 5 word as arranged as ,a as 5!,c as 5!, h as 5!
i as 5!,t as 5!
there fore 5!+5!+5!+5!+1(rachit)=481
Is This Answer Correct ? | 25 Yes | 5 No |
Answer / gangadhar
ans is 481
rachit is a 6 words
in dictionary letter was start with r
remaining 5 word as arranged as ,a as 5!,c as 5!, h as 5!
i as 5!
there fore 5!+5!+5!+5!++1(rachit)=481
Is This Answer Correct ? | 14 Yes | 6 No |
Answer / sharon thomas
First of all, arrange all letters of given word in alphabetically : ACHIRT
Total number of words starting with A _ _ _ _ _ = 5!= 120
Total number of worda starting with C _ _ _ _ _ = 5!= 120
Total number of words starting with H _ _ _ _ _ = 5!= 120
Total number of words starting with I _ _ _ _ _ = 5!= 120
Total number of words starting with R A C H I _ = 1!= 1
::: Rank of the word RACHIT = 120 +120 +120 +129 +1 = 481
So the answer is 481
Is This Answer Correct ? | 10 Yes | 3 No |
Answer / ashish dwivedi
Rachit
firstly we arrange as the alphabetically
then achirt
R a c h i t
5!*4 4!*0 3!*0 2!*0 1!*0 0!*0
here we get 5!*4 = 480
but we got 480 arrangement before Rachit so Add 1
bcoz here not including Rachit so finally ans is 481
Is This Answer Correct ? | 12 Yes | 6 No |
Answer / gangadhar
ans is 481
rachit is a 6 words
in dictionary letter was start with r
remaining 5 word as arranged as ,a as 5!,c as 5!, h as 5!
i as 5!,t as 5!
there fore 5!+5!+5!+5!+5!+1(rachit)=481
Is This Answer Correct ? | 13 Yes | 23 No |
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