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07 Aug 2018, 00:36
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Difficulty:
75%
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Question Stats:
54% (02:25) correct
46%
(02:38)
wrong
based on 118
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How many integers exist between 300 and 600 exclusive, such that all digits are distinct and from left to right, the digits are in strictly ascending order, i.e., hundreds place digit is less than tens place digit which in turn is less than ones place digit?
A. 28
B. 31
C. 35
D. 42
E. More than 50
A. 28
B. 31
C. 35
D. 42
E. More than 50
08 Aug 2018, 08:42
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amanvermagmat
How many integers exist between 300 and 600 exclusive, such that all digits are distinct and from left to right, the digits are in strictly ascending order, i.e., hundreds place digit is less than tens place digit which in turn is less than ones place digit?
A. 28
B. 31
C. 35
D. 42
E. More than 50
A. 28
B. 31
C. 35
D. 42
E. More than 50
Here is a way avoiding calculations..
Let's see between 300-400
Hundreds is 3 so other two will be any of 4,5,6,7,8,9, so 6 digits
Choose 2 out of 6 in 6C2=15 6C2 - this means we are choosing two and these two can be choosen only in one way.. say 4,7 can be only 47
400-500
The other two will be 5,6,7,8,9
Choose two out of 5 so 5C2=10
500-600
Choose 2 out of 4-(6,7,8,9), so 4C2=6
Total 15+10+6=31
B
General Discussion
07 Aug 2018, 01:55
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Option B.i tried a very crude method of counting.pls suggest any other method
Sent from my Lenovo K33a42 using GMAT Club Forum mobile app
Sent from my Lenovo K33a42 using GMAT Club Forum mobile app
