MATH SOLVE

4 months ago

Q:
# Jamal is playing a card game with his friends. The deck has red and black cards numbered 1-12. Red cards represent negative numbers, black cards represent positive numbers. If he needs a product of 24, what are the possible combinations of cards Jamal could use?

Accepted Solution

A:

First let us assume all black cards, the numbers that will
result in 24 is:
2 * 12
3 * 8
4 * 6
Similar case with the red cards:
-2 * -12
-3 * -8
-4 * -6
Assuming the product can be negative, so we can also take
the combination of two cards (1 red and 1 black):
2 * -12
3 * -8
4 * -6
-2 * 12
-3 * 8
-4 * 6
Β
So there are a total of 12 combinations.