In a pack of 52 cards, there are (13 spade + 13 club) 26 cards of black colour and (13 heart + 13 diamond) 26 cards of red colour.
∴ From a well shuffled pack of 52 cards, 3 cards of same colour can be selected
In 26C3 + 26C3 ways.
∴ Total combinations = 26C3 + 26C3
= \(\frac{26×25×24}{3×2×1}+\frac{26×25×24}{3×2×1}\)
= 2600 + 2500 = 5200