MathDB
Sum of 4-Digit Numbers

Source:

June 27, 2011

Problem Statement

There are twenty-four 4-digit numbers that use each of the four digits 2, 5, 7, and 4exactly once. Listed in numerical order from smallest to largest, the number in the 17th17th position in the list is
(A) 4527(B) 5724(C) 5742(D) 7245(E) 7524 \text{(A)}\ 4527\qquad\text{(B)}\ 5724\qquad\text{(C)}\ 5742\qquad\text{(D)}\ 7245\qquad\text{(E)}\ 7524