Activity 2

Calculate the value of:

  1. C(7,3)
    2. C(7,3) = 7! / [(7-3)! * 3!] = 7! / [4!*3!] = 7*6*5 / 3*2*1 = 7*5 =35
  2. C(10,5) = 10! / [(10-5)! * 5!] = 10! / [5!*5!] = 10*9*8*7*6 / 5*4*3*2*1 = 3*7*6 = 126
  3. C(6,5) = 6! / [(6-5)!*5!] = 6! / [5! * 1!] = 6 * 1 = 6
  4. C(6,6) = 6! / [(6-6)!*6!] = 6! / [0! * 6!] = 1
  5. C(n,3) = n! / [(n-3)! * 3!]
  6. C(n,n-3) = n! / [(n-(n-3))! * (n-3)!] = n! / [3! * (n-3)!] = same as #5