Honored students

Of the 25 students in the class, 10 are honored. How many ways can we choose 5 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

4 months ago  2 Likes

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