For The Mathematically Inclined

Raj's father like to read Saturday and Sunday paper while eating brunch. He reads 5 sections from Saturday's paper and 6 from Sunday's paper. 2 sections are repeated on both days. How many different orders can he read them?

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Problems from 08/31/17

Problem 1

Three integers are added pairwise, and the results are 403, 704, and 905. Find the integers if they exist.

Problem 2:

What is the minimum number of squares to be colored red in a 10X10 grid so that any L-shaped figure consisting of 4 unit squares of the grid contains at least 2 red squares?