Question

Miranda has 5 shirts and 4 pairs of pants that she uses for her work clothes. How many different outfits can be assembled using 5 shirts and 4 pair of pants?

Answer 1

Set of shirts {a,b,c,d,e}
Set of pants {1,2,3,4)

You can have 4 different pants for each shirt so

1a 2a 3a 4a repeat that 5x for each shirt to get 20 different combinations

Answer 2

20

Explanation:

lets label each shirt as A, B, C, D, E and each pair of pants as a, b, c, d

combinations include:

Aa, Ab, Ac, Ad, Ba, Bb, Bc, Bd, Ca, Cb, Cc, Cd, Da, Db, Dc, Dd, Ea, Eb, Ec, Ed

however, it isn't necessary to write out all the combinations as you could just do 5*4=20.