Find the value of each of these quantities. a) C (5,1) c) C (8, 4) e) C (8, 0) b) C (5,3) d) C (8, 8) f) C (12, 6)

Question

Chemistry

Brian Griffin

17 December, 07:03

Find the value of each of these quantities. a) C (5,1) c) C (8, 4) e) C (8, 0) b) C (5,3) d) C (8, 8) f) C (12, 6)

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Answers (1)

Know the Answer?

Cookie Dough · Answer 1

a) 5

b) 10

c) 70

d) 1

e) 1

f) 924

Explanation:

a) C (5,1)

By combination method nCr = n! / (n-r) ! r!

= 5C1 = 5! / (5-1) !1!

= 5

b) C (5,3)

5C3 = 5! / (5-3) !3!

= 10

c) C (8, 4)

8C4 = 8! / (8-4) !4!

= 70

d) C (8, 8)

= 8C8 = 8! / (8-8) !8!

= 1

e) C (8, 0)

8C0 = 8! / (8-0) !0!

= 1

f) C (12, 6)

= 12C6 = 12! / (12-6) !6!

= 924