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  n=(210) (325102)=45 (325102)=12870

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