Question

You have a frame that holds three pictures. You pulled out your favorite five photos. How many sets of three are there? Make a list of all the possible combinations using the numbers 1 - 5 to represent the photos. (I NEED FULL EXPLAINATION)

Answer 1

Answer:

10

Step-by-step explanation:

nCr = 5!/(3! × (5 - 3)!)

= 10

123/ 124/ 125/ 134/ 135/ 145/ 234/ 235/ 245/ 345

The formula for combinations is generally n! / (r! (n -- r)!), where n is the total number of possibilities to start and r is the number of selections made. In our example, we have 52 cards; therefore, n = 52.

Answer 2

Answer: 1, 2, 3

1, 2, 4

1, 2, 5

1, 3, 4

1, 3, 5

1, 4, 5

Step-by-step explanation:

These are all possible combinations, and since order doesn't matter, there are only 6 combinations that can be used for the frame.