Honored students

Of the 25 students in the class, ten are honored. How many ways can we choose five students from them if there are to be exactly two honors between them?

Correct answer:

n =  12870

Step-by-step explanation:

C3(13)=(313)=3!(133)!13!=321131211=286 C2(10)=(210)=2!(102)!10!=21109=45  n1=(210)=45 n2=(325102)=286 n=n1 n2=45 286=12870

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Showing 1 comment:
why is it 13 choose 3 instead of 15 choose 3 considering there are 15 non-honored students in the class

2 years ago  3 Likes

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