👤
Answered

2. A four-person committee is to be elected from an organizations' membership of 11people. How many different committees are possible?​.

Sagot :

MiRakeego

Formula used: nCr = (n!) / (r!(n-r)!)

Given: n = 11 and r = 4

Solution:

  • 11C4 = (11!) / (4!(11-4)!)
  • 11C4 = (11!) / (4!7!)
  • 11C4 = (11*10*9*8*7!) / (4!7!)
  • 11C4 = (11*10*9*8) / (4*3*2*1) = 7920 / 24 = 330
  • 11C4 = 330

Answer: Therefore, 11C4 = 330, which means that there are 330 different committee.

Go Training: Other Questions