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Permutations & Combinations problems

Permutation Probability example question

You are trying to form a unique string of three letters from the list {A, B, C, D, E} so that the first two letters are distinct. How many strings are there?

a)  10

b)  16

c)  14

d)  100

e)  125

f)  none of the above

 

Solution to this Permutation Probability practice problem is given in the video below!



Combination Probability example problem

Four tennis players decide to play one “doubles” game each day (two players per team) until all possible combinations are used. How many days will they play?

a)  1

b)  3

c)  6

d)  12

e)  24

f)  none of the above

 

Solution to this Combination Probability practice problem is given in the video below!



Combination Probability example

A Geometry class consists of 23 juniors and 44 sophomores. A committee of 5 students is chosen at random. What is the probability that no juniors are chosen?

a)

b) 

c) 

d) 

e)  0

f)  none of the above

 

Solution to this Combination Probability practice problem is given in the video below!



Combination Probability example question

A jury of five must decide whether Rick will pass his Probability class. In order for Rick to pass, at least four of the jurors must be in favor. In how many ways can Rick pass his class?

a)  16

b)  6

c)  5

d)  4

e)  32

f)  none of the above

 

Solution to this Combination Probability practice problem is given in the video below!



 

Combination Probability example problem

You have 25 identical flowers in your garden, and you want to remove any 5 of them. In how many ways can you choose the flowers?

a)  252

b)  525

c) 

d) 

e) 

f)  none of the above

 

Solution to this Combination Probability practice problem is given in the video below!



Permutation-Combination example

You have 35 different pancakes to choose from. You want to order a stack of three pancakes. If you care about the ordering of the pancakes you get, how many choices are possible? (For example, raspberry/blueberry/pecan is different from raspberry/pecan/blueberry).

a) 

b)  75

c) 353

d)  335

e) 

f)  none of the above

 

Solution to this Permutation-Combination Probability practice problem is given in the video below!



Permutation-Combination example problem #2

Calculate the maximum number of 3rd Great Grandparents each person has by using Factorials, Permutations and Combinations.

 

Solution to this Permutation-Combination Probability practice example is given in the video below!




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