Let’s count – The basic principles of combinatorics, 2

Do your best in trying to solve the following problems. It is normal that this step will take some time, we recommend to perseverate and wait before looking at the complete solution of the exercises in the video or in the pdf below.

Exercise 3.

1. Compute the number of permutations of ((M_1, A_1, T_1, H, E, M_2, A_2, T_2, I, C, S)).
2. Deduce the number of anagrams of (MATHEMATICS).