Combinations
Combinations
How many choices do I have? This lesson can help you with answering this question! Combination is the process of selecting members from a set of items. Combination formula is your best friend in this lesson. Unlike permutations, order doesn't matter in combinations!
Lessons
Notes:
? combination: nCr = number of selections of r items taken from a set of n distinct items (order does NOT matter!!)
=
-
a)
How many ways can a president, a vice president, and a treasurer be selected from a class of 20 students?
-
b)
How many different committees of 3 people can be selected from a class of 20 students?
-
-
2.
A standard deck of 52 cards consists of:
• 4 suits: diamonds, hearts, spades, and clubs
• each suit has 13 cards
• red cards: diamonds and hearts
• black cards: spades and clubs
• face cards: Jacks, Queens, and Kings
How many different 5-card hands can be formed containing:-
g)
flush (5 cards of the same suit)?
-
3.
? problems with "at least", "at most"
From a standard deck of 52 cards, how many different 5-card hands can be formed containing: -
4.
There are 20 members in a student council, 7 boys and 13 girls. How many ways can a committee of 5 people be selected if there must be:
-
5.
Five points are marked on a circle. By connecting the points on the circle,
