MathDB

Number formed by 1, 9, 8, 4 dividing 1984!

Source:

October 9, 2010

probabilitynumber theorycombinatorics unsolvedcombinatorics

Problem Statement

Let

a, b, c, d

be a permutation of the numbers

1, 9, 8,4

and let

n = (10a + b)^{10c+d}

. Find the probability that

1984!

is divisible by

n.