Principle of counting

Question

The Major League All-Star teams have 7 pitchers and 3 catchers. How many pitcher-catcher pairs can be made?

Answer 1

7 pitchers 3 catchers

how many different pitcher/catcher pairs are possible??

7x3 = 21

say there were 3 and 2

pitchers a b and c and catchers d and e

then the combos would be 3x2 = 6

ad, are, bd, be, cd, ce

for 7 and 3, i'ts 21 different pairs