MathDB

20

Part of 2017 AMC 8

Problems(1)

Odd Integers

Source: 2017 AMC 8 #20

11/22/2017
An integer between 10001000 and 99999999, inclusive, is chosen at random. What is the probability that it is an odd integer whose digits are all distinct? <spanclass=′latex−bold′>(A)</span>1475<spanclass=′latex−bold′>(B)</span>56225<spanclass=′latex−bold′>(C)</span>107400<spanclass=′latex−bold′>(D)</span>725<spanclass=′latex−bold′>(E)</span>925<span class='latex-bold'>(A) </span>\frac{14}{75}\qquad<span class='latex-bold'>(B) </span>\frac{56}{225}\qquad<span class='latex-bold'>(C) </span>\frac{107}{400}\qquad<span class='latex-bold'>(D) </span>\frac{7}{25}\qquad<span class='latex-bold'>(E) </span>\frac{9}{25}
AMC 8