Lemma
EasyPermutations & combinations
OpenStax, Contemporary Mathematics §7.3 Combinations · Example 3 · Combinatorics · Permutations & combinations

Combinations · Example 3

(a) In the card game Texas Hold’em (a variation of poker), players are dealt 2 cards from a standard deck to form their hands. How many different hands are possible?
(b) The board game Clue uses a deck of 21 cards. If 3 people are playing, each person gets 6 cards for their hand. How many different 6-card Clue hands are possible?
(c) Palmetto Cash 5 is a game offered by the South Carolina Education Lottery. Players choose 5 numbers from the whole numbers between 1 and 38 (inclusive); the player wins the jackpot of $100,000 if the randomizer selects those numbers in any order. How many different sets of winning numbers are possible?

~5 minWritten answer · compare with the solution

OpenStax, Contemporary Mathematics · §7.3 Combinations · Example 3

Stuck? A gentle nudge

No hints for this one.

Something off?
Workspace
Your working

Check your full solution

Upload photos of your handwritten work or a PDF, and Lemma will read it and tell you whether it's right — and where it first goes wrong if not.