Grade10 math permutations or combination or both

Question

From his 6 law books and 8 accounting books,

Paolo decides to take 3 law and 2 accounting books and arrange them in a shelf. In how many ways can he do this?

Answer 1

3 law out of 6 law books, 2 accounting out of 8 accounting books

the five books

put on a shelf, how many ways to do that?

let us count the ways: 10

LLAAA

LALAA

LAALA

LAAAL

ALLAA

ALALA

ALAAL

AALLA

AALAL

AAALL

4+3+2+1= 10