5. To find the # of ways both event A and B can
occur:
MUTLIPLY the two combinations.
When finding # of ways event A or B can
occur:
ADD the two combinations
6. A standard deck of 52 playing cards has 4
suits with 13 different cards in each suit.
If the order cards are dealt is not important,
how many different 5-card hands are
possible?
In how many of these are all five cards the
same suit?
7. How many possible 5-card hands contain
exactly 3 kings?
8. How many different 7-card hands are
possible? (order is not important)
How many hands have all 7 cards the same
suit?
9. A restaurant serves omelets
that can be ordered with
any of the ingredients shown.
How many omelets can you
order with exactly 2 veggies
and 1 meat?
Vegetarian Meat
Green pepper Ham
Red pepper Bacon
Onion Sausage
Mushroom Steak
Tomato
Cheese
10. If you can afford at most 3
ingredients in your omelet,
how many different types
can you order?
Vegetarian Meat
Green pepper Ham
Red pepper Bacon
Onion Sausage
Mushroom Steak
Tomato
Cheese
11. You are taking a vacation and can visit as
many as 5 different cities and 7 different
attractions.
How many ways can you visit exactly 3 cities
and 4 attractions?
How many ways can you visit at least 8
locations?
12. How many ways can you choose at least 18
people from a group of 20 volunteers?
13. Rather than adding several combinations, it
can be faster to subtract ones you don’t
want.
Example:
How many ways can you attend at least 3
plays from a series of 12?
14. A restaurant offers 6 salad toppings. You are
allowed to choose up to 4 toppings. How
many different salads can you have?
15. Every student council committee must
contain at least 1 senior. If there are 7
seniors on student council, how many
different combinations of seniors can be
assigned to a committee?
