MathDB

The numbers

1, 2, . . . , 10

are randomly arranged in a circle. Let

p

be the probability that for every positive integer

k < 10

, there exists an integer

k' > k

such that there is at most one number between

k

and

k'

in the circle. If

p

can be expressed as

\frac{a}{b}

for relatively prime positive integers

a

and

b

, compute

100a + b

Problem Statement