Understanding the counting rules of Stats including this que
Understanding the counting rules of Stats. including this question:
Suppose you are to choose a basketball team (5 players) from eight available athletes
a) How many ways can you choose a team (Ignoring positions)?
Solution
This is same as selecting 5 from 8 players.
so
using formula for nCr from combinatorics
C(n,r) = n!/r!(n-r)!
n! = n* (n-1) * (n-2) ------------3*2*1
and 0!=1
n=8
r=5
C(8,5) =8! / (5! (8 - 5)!) = 56 ways
