Determine in how many ways you can get the following combinations.

Question

A slot machine has 3 dials, each having 20 symbols, as listed in the table below. The 6 symbols (bar, bell, cherry, lemon, orange, plum) are all different.

Symbols Dial 1 Dial 2 Dial 3

Bar 1 3 1

Bell 1 3 2

Cherry 6 6 0

Lemon 3 0 4

Orange 3 6 7

Plum 6 2 6

Determine in how many ways you can get the following combinations.

(a) 3 bells (Blank) ways

(b) 3 oranges (Blank) ways

(c) 3 plums (Blank) ways

Answer 1

Just multiply the rows:

(a) 1*3*2 = 6

(b) 3*6*7 = 126

(c) 6*2*6 = 72