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

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

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