Among all the 24 different positive four-digit integers formed out of

Question

Among all the 24 different positive four-digit integers formed out of 6, 7, 8, 9, at which place will 8697 rank from the least to the greatest?

A. 11
B. 12
C. 13
D. 14
E. 15

Rabab36 · Answer

since there are 24 different number out of 4 digits 
each digit will have 6 possible ways

8697 will be least number starting with digit 8

therefore it will be at 13 place
 option c

DevaKishoreE · Answer

Arranging it in the order with 6 and 7 it will have 12 ways (each 6) and the next number will be 8679 and then 8697.

So the rank will be 14
Option D

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gmatophobia · Answer

6 _ _ _ = 3! ways

7 _ _ _ = 3! ways

8 6 _ _ = 1 way

Total number prior to 8697 = 13

So 8697 is at the 14th place.

Option D

Rance14 · Answer

We have the digits 6,7,8,9

We need to start from the least to the greatest

The lowest number will obviously start from 6

6_ _ _  
hence, the total possible combinations of numbers starting from 6 => 3!

Then we will have numbers starting from 7

7_ _ _  
hence, the total possible combinations of numbers starting from 7 => 3!

Then we will have numbers starting from 8

Now, note that we need to find the rank of the number 8697

And the first number starting from 8 will have the next digit as 6

hence, will have 86_ _

Because we have to rank from the lowest to the greatest the next number will be 8679
And now, the next number will be 8697

hence the rank of 8697 = 3!+3!+1+1 = 6+6+1+1 = 14

P.S. The ranks of the numbers are as follows

6789
6798
6879
6897
6978
6987
7689
7698
7869
7896
7968
7986
8679
8697 -> 14th

bumpbot · Answer

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Among all the 24 different positive four-digit integers formed out of

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