Digits

Jan 2008
173
1
There are 120 different five digit numbers that can be constructed by putting the digits 1, 2, 3, 4 and 5 in all possible different orders. If these numbers are placed in numerical order, from smallest to largest, what is the 60th number in the list?

(A) 31245 (B) 32145 (C) 32415 (D) 32541 (E) 34125
 

skeeter

MHF Helper
Jun 2008
16,216
6,764
North Texas
There are 120 different five digit numbers that can be constructed by putting the digits 1, 2, 3, 4 and 5 in all possible different orders. If these numbers are placed in numerical order, from smallest to largest, what is the 60th number in the list?

(A) 31245 (B) 32145 (C) 32415 (D) 32541 (E) 34125
the first 24 numbers start with the digit 1

the second 24 start with the digit 2

the third 24 start with the digit 3

... narrow it down.