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Step-by-step explanation:
1. C(n,r)=n!/r!(n-r)!
C(6,2)=6!/2!(6-2)!
C(6,2)=6!/2!4!
C(6,2)=720/48
C(6,2)=15
2. C(n,r)=n!/r!(n-r)!
C(5,3)=5!/3!(5-3)!
C(5,3)=5!/3!2!
C(5,4)=120/12
C(5,4)=12
3. C(n,r)=n!/r!(n-r)!
C(10,6)=10!/6!(10-6)!
C(10,6)=10!/6!4!
C(10,6)=3,628,800/720
C(10,6)=5,040
4. C(n,r)=n!/r!(n-r)!
C(8,3)=8!/3!(8-3)!
C(8,3)=8!/3!5!
C(8,3)=40,320/720
C(8,3)=56
5. C(n,r)=n!/r!(n-r)!
C(9,5)=9!/5!(9-5)!
C(9,5)=9!/5!4!
C(9,5)=362,880/2,880
C(9,5)=126
6, C(n,r)=n!/r!(n-r)!
C(9,6)=9!/6!(9-6)!
C(9,6)=9!/6!3!
C(9,6)=362,880/4,320
C(9,6)=84
7. C(n,r)=n!/r!(n-r)!
C(11,9)=11!/9!(11-9)!
C(11,9)=11!/9!2!
C(11,9)=39,916,800/725,760
C(11,9)=55
8. C(n,r)=n!/r!(n-r)!
C(10,2)=10!/2!(10-2)!
C(10,2)=10!/2!8!
C(10,2)=3,628,800/80,640
C(10,2)=45
9. C(n,r)=n!/r!(n-r)!
C(7,2)=7!/2!(7-2)!
C(7,2)=7!/2!5!
C(7,2)=5,040/240
C(7,2)=21