I won 5 tickets to the Red Sox . I have 9 friends but I can only bring 4 of them. In how many ways can I form team?

Respuesta :

Out of 5 tickets you have to use 1 ticket for your own and remaining 4 for other friends.

So basically you have to find how many ways you can pick 4 friends out of total 9 friends.

This can done using combination formula

[tex] C(n,r)=\frac{n!}{r!*(n-r)!} [/tex]

That formula means selecting r people from n people.

We are choosing 4 out of 9 so r=4, n=9

now plug those values into above formula

[tex] C(9,4)=\frac{9}{4!*(9-4)!} [/tex]

[tex] C(9,4)=\frac{9!}{4!*(5)!} [/tex]

[tex] C(9,4)=\frac{362880}{24*120} [/tex]

[tex] C(9,4)=126 [/tex]

So there are 126 ways to form arequired team.

Break the 5 tickets in half :)

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