The digits from 1 to 6 are arranged to form a six-digit multiple of 5. What is the probability that the number is greater than 500,000 and even? Express your answer as a common fraction.

Guest Sep 11, 2021

#1**+1 **

6! numbers can be made = 720 numbers

Numbers must end in 5 to be a multiple of 5

if the number ends in 5 , the first number cannot be a 5 so the only numbers > 500 000 will be the ones that start with a 6

6 x x x x 5 will all be greater than 500 000

for the x's : 4 * 3 * 2 * 1 = 24 numbers out of 720 possible

24/720 <===== simplify as needed

ElectricPavlov Sep 12, 2021