Question

Determine the number of different ways to draw three cards of the same rank when drawing three cards from a 24-card deck (assume that there are 4 cards in each rank)

Answer 1

solution:

total number of cards = 24

it is given that there are 4 cards in each rank

so number of ranks = 24/4 = 6

and number of cards in each rank = 4

we have to find the ways of drawing the three cards of the same rank

so number of ways selecting 3 cards of same rank from one rank type(4 cards of a rank)=

but there are 6 ranks available in the deck so multiply it by 6 to get the total required ways

total number of ways of drawing 3 cards of same rank from the deck = 4*6 = 24 ways