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13 Jan 2022, 03:30
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
67% (02:19) correct
33%
(02:33)
wrong
based on 155
sessions
History
Date
Time
Result
Not Attempted Yet
A student is forming numbers without repetition from the digits 1, 2, 3, 4 and 5 such that the digit in the unit's place is greater than the digit in the tenths' place. How many numbers can the student form?
(A) 40
(B) 48
(C) 54
(D) 60
(E) 68
(A) 40
(B) 48
(C) 54
(D) 60
(E) 68
24 Jan 2022, 11:40
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Given: A student is forming numbers without repetition from the digits 1, 2, 3, 4 and 5 such that the digit in the unit's place is greater than the digit in the tenths' place.
Asked:How many numbers can the student form?
Total numbers that can ne formed using 1,2,3,4 and 5 without repition = 5! = 120
In half of the cases, Unit digit will be greater than the tenth digit.
IMO D
Posted from my mobile device
Asked:How many numbers can the student form?
Total numbers that can ne formed using 1,2,3,4 and 5 without repition = 5! = 120
In half of the cases, Unit digit will be greater than the tenth digit.
IMO D
Posted from my mobile device
General Discussion
24 Jan 2022, 10:20
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Bunuel
Only the units and tens position have a condition other places have no restriction:
\(\\
1 *2 *3 *4 *1 = 24 \)
( When \(5\) is the units digit , \(4\) options \(( 4,3,2 ,1)\) for tens place, \(3\) options for Hundreds place , \(2\) options thousands place and \(1\) option for Ten thousands place )
\(1*2*3*3*1 = 18\)
( When units digit is \(4\) , for tens digit we have only \(3\) options \(( 3,2,1 ),\) other \(3\) can be arranged in \(3*2 *1\) ways )
similarly
\(1*2*3*2*1 = 12\)
Units digit is \(3\) and for the tens place we have \( 2\) options \((2,1)\) for remaining we have \(3*2*1\) options.
\(1*2*3*1*1 = 6 \)
Units digit is \(2\) for the tens place we have only \(1\) option \((1)\) for remaining we have \(3*2*1\) options.
Total cases \(24 +18 +12 +6 = 60\)
Ans D
*Since there are no decimal involved I believe it should be Tens rather than Tenth's.
