Question

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?

Answer 1

Answer:  There are 6 possible combinations of cards Jamal could use.

Step-by-step explanation:

Since we have given that

There are 2 cards:

1) Black cards

2) Red cards

Red cards are represented as negative numbers and black cards are represented as positive numbers.

We need a product of 24.

So, According to black cards , we get product in these combinations:

$12\times 2\\\\8\times 3\\\\6\times 4$

According to red cards, we get product in these combinations:

$-12\times -2=24\\\\-6\times -4=24\\\\-3\times -8=24$

Hence, there are 6 possible combinations of cards Jamal could use.

Answer 2

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

 

So there are a total of 12 combinations.