Augustin has 20 different chess boards. if he played 3 games per day, each game played on a different board, how long would it take him to play with every combination of chess boards?

514 days

Step-by-step explanation:

We use the formula (r+n-1)/r(n-1)

There are 1540 combinations. Then, we'll divide them by three because were not just finding the amount of combinations, but the time it'd take to play them all.

We get 513.333(cont.)

thats not really possible, so we're gonna go with 514 instead, rounding up. Normally we'd round down, because the number behind the decimal is below 5, but we really want to make sure we get every combination in there.

Hope this is helpful!

associative property of multiplication

a² + b²= c²

24² + 7² = c²

c= 25