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A group of 8 friends plan to go watch a movie but they only have 5 tickets. How many different combinations of 5 friends could possibly receive the ticket?

A)13
B)10
C)56
D)64

Respuesta :

b cause 8*5=40 but if there are only 8 and 5 ticket then what you would do is ....-8*-5=-40
Edufirst
Answer: option C) 56.

Explanation:

1) You have to find the number of ways how you can combine 5 friend (this is form groups of 5 people) out of a group of 8.

2) That is the 5C8

3)The formula for combinatory is: nCm = m! / [ n! (m - n)!]

4) So for m = 8 and n = 5 you get:

5C8 = 8! / [5! (8 - 5)! ] = 8*7*6*5! / [ 5! * 3!] = 8*7*6 / [ 3*2*1] = 8*7 = 56

So, the answer is the option C) 56.

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