The most effective way to show that 10C2 = 10C8 is to solve for
the values of each combination. To solve for the values, we have to make use of
the combination formula:
nCr = n! / r! (n – r)!
where n is the total sample size and r is the selected sample size
Calculating the value of 10C2:
10C2 = 10! / [2! (10 – 2)!]
10C2 = 10! / (2! * 8!)
10C2 = 45
Calculating the value of 10C8:
10C8 = 10! / [8! (10 – 8)!]
10C8 = 10! / (8! * 2!)
10C8 = 45
Therefore,
10C2 = 10C8
