FCP, Permutations,& Combinations
Let's Count
(FCP, P, & C)
(FCP, P, & C)
What are the odds?
Probability
Probably Probability
100
Order matters.
What is a permutation?
100
Order does NOT matter.
What is a combination?
100
What is the probability of selecting a face card or an ace from a standard deck of cards?
4/13
100
A group of cell phone owners were asked whether they had an Android or Apple phone.The results are shown in the table below.
P(a male that owns an android)
34/125
100
The table below shows the number of gold, silver, and bronze medals won by the US and China during the 2012 summer Olympics.
P(US bronze medal)
29/191
200
There are ten questions on Jack’s science quiz: six multiple choice questions with four choices each and four true/false. How many ways can he answer the questions? Is this a permutation, combination, or fundamental counting principle?
65,536. Fundamental counting principle.
200
A six-sided dice is rolled, a card is drawn from a standard deck of cards, a day of the week is selected, and a month is picked. How many different results are there? Is this a permutation, combination, or fundamental counting principle?
26,208. Fundamental Counting Principle.
200
The table below shows the number of gold, silver, and bronze medals won by the US and China during the 2012 summer Olympics.
P( Silver l China)
7/22
200
Daily Bonus!
200 FREE POINTS!
200
Erik is randomly choosing a card from a standard deck and flipping a coin. What is the probability that he chooses a card that is red and flips a tail?
1/4
300
Marlena must answer 3 out 8 essay questions on her writing quiz. How many ways can she choose three? Is this a permutation, combination, or fundamental counting principle?
56. Combination.
300
Josh must submit 4 paintings as a part of his application to art school. If he has 25 to choose from, how many ways can he pick 4? Is this a permutation, combination, or fundamental counting principle?
12,650. Combination.
300
A group of cell phone owners were asked whether they had an Android or Apple phone.The results are shown in the table below.
P(apple l male)
15/32
300
The table below shows the number of gold, silver, and bronze medals won by the US and China during the 2012 summer Olympics.
P( China l not silver)
4/9
300
A group of cell phone owners were asked whether they had an Android or Apple phone.The results are shown in the table below.
P(female l android)
19/53
400
The Grandview High School Band plans to play 6 pieces of music in their upcoming concert. How many ways can they arrange the order of their performance? Is this a permutation, combination, or fundamental counting principle?
720. Permutation.
400
The field hockey coach choose players to put away equipment after each practice. If there are 16 players on the team, how many ways can she choose 5? Is this a permutation, combination, or fundamental counting principle?
4,368. Combination.
400
A team’s jerseys are numbered 1-100. Your lucky number is 13. What is the probability of you getting a jersey that is NOT a multiple of 13?
93/100
400
Tony’s wallet contains six $1 bills, four $5 bills, two $10 bills, and three $20 bills. If Tony randomly removes a bill, what is the probability that it is at least $5?
3/5
400
A box of pizza contains three cheese slices, seven pepperoni slices, and five supreme slices. Mark randomly chooses a slice, eats it, then chooses another. Find the probability that he eats cheese then supreme.
1/14
500
How many ways can a president, vice president, and treasurer be elected from a group of 40 students? Is this a permutation, combination, or fundamental counting principle?
59,280. Permutation.
500
How many different 12-letter arrangements can be made using the letters in the word CARELESSNESS? Is this a permutation, combination, or fundamental counting principle?
3,326,400. Permutation.
500
Of the 318 sophomores, 140 are taking Algebra 2 and 102 are taking Chemistry. 26 of those taking Algebra 2 are also taking Chemistry. If a sophomore is chosen at random, find the probability that they are taking Algebra 2, if it is known that they do not take Chemistry.
19/36
500
A senior class has 200 students in it. 50 take Spanish and 43 take French. 7 students take French and Spanish. If a senior is chosen at random, find the probability that they are taking Spanish, if it is known that they do not take French.
43/157
500
A box of pizza contains three cheese slices, seven pepperoni slices, and five supreme slices. Mark randomly chooses a slice, eats it, then chooses another. Find the probability that he eats two pepperoni slices.
1/5