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1. A student must answer 3 out of 5 easy questions on a test. In how many ways can a student select the questions?

2. A news program has time to present 2 of 4 available news stories. How any different sets of stories can be presented on the evening news?

(pasagot po)​


Sagot :

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

1. [tex]C(5,3)=\frac{5!}{3!(5-3)!}=\frac{5!}{3!2!}=10[/tex]

2. [tex]C(4,2)=\frac{4!}{2!(4-2)!}=\frac{4!}{2!2!}=6[/tex]