Question

Select the correct answer

A group of 8 friends (5 girls and 3 boys) plans to watch a movie, but they have only 5 tickets. How many different combinations of 5 friends could
possibly receive the tickets?
•
A.13
B.40
C.56
D.64

Answer 1

Answer is C.

Explanation:

The general formula for calculating combinations is:

`(n!)/(k!(n-k)!)`

Where n is the total number of options and k is the number of options in the combination.

In this case, sub in the numbers given in the question:

`(8!)/(5!(8-5)!)`

`=(8* 7 * 6 )/(3 * 2)`

`=8 * 7`

`=56`

Answer 2

The correct answer option is C. 56.

Explanation:

We are given that a group of 8 friends (5 girls and 3 boys) plans to watch a movie, but they have only 5 tickets.

We are to find the number of combinations these 5 friends could

possibly receive the tickets.

Here, we will use the concept of combination as the order of the friends is not specific.

`5C5+ (5C4 * 3C1) + (5C3*3C2) + (5C2*3C3)`

`=1+5*3 + 10*3 +10*1 = 1+15+30+10=` 56