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Learning Task 5.
Directions: Calculate the given expressions. Show your solutions.
1. 6C2=
2.5C3=
3. 10C6 =
4. 8C3=
5. 9C5 =
6. 9C6=
7. 11C9 =
8.10C2=
9. 7C2=
10. 15Cs =​


Sagot :

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