Mathematics

Problem

The product of the first

n

integers can be written using factorial notation:

n! = 1 \times 2 \times 3 \times \dots \times (n - 1) \times n

When a Mahjong set is arranged ready for play, the total number of orders in which the tiles can be selected is

\frac{144!}{(4!)^{34}} \approx 6.563 \times 10^{202}

. Can your calculator evaluate numbers this large? If not, how can we evaluate expressions like

\frac{144!}{(4!)^{34}}