Answer :

id1001265

There are 165 different committees possible where no member has any specific responsibilities

To solve this problem the formula and the combination procedure we must use is:

C(n/r) = n! / [(n-r)! *r!]

Where:

  • C(n/r) = combination
  • n = total number of objects
  • r = number of selected objects
  • ! = factorial of the number

Information about the problem:

  • n = 11
  • r = 3
  • C(11/3) =?

Applying the combination formula we have:

C(n/r) = n! / [(n-r)! *r!]

C(11/3) = 11! / [(11-3)! *3!]

C(11/3) = 11! / [(8)! *3!]

C(11/3) = 11*10*9*8! / [(8)! *3!]

C(11/3) = 11*10*9/3!

C(11/3) = 990/6

C(11/3) = 165

What is a combination?

In mathematics, a combination or combinations are all the possible groupings that can be made of a given number of elements, without repeating them and regardless of the order in which they are found.

Learn more about combination at: brainly.com/question/11732255

#SPJ4

Other Questions