Question

Killian went to the movies with his mother, 2 brothers, and 2 sisters. The theater had choices of 2 different types of soda and 3 different types of candy. If each person ordered a soda and box of candy, is it possible for each person in Killian's family to order a different combination? Be sure to show your work and explain your answer for full credit!!

Answer 1

yes it is possible for them all to have a different combination

his brother could have soda A and candy A

while the other brother had soda B and candy B

then his sister could have soda C and candy B

then his other sister could have soda C and candy A

while finally killian could have soda B and candy A