Permutation or Combination?
A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?
combination
You just got a free ticket for a boat ride, and you can bring along 2 friends! Unfortunately, you have 5 friends who want to come along. How many different groups of friends could you take with you?
combination
6 students are competing in a race; the first place, second place, and third place ribbons will be handed out to three students.
permutation
Assigning students to their seats on the first day of school.
permutation
How many ways can a baseball manager arrange the batting order of nine players?
permutation
You have 4 different sweaters and you are going to bring 2 of them along with you on a trip.
combination
You have 8 friends, and you will select 2 of them to go to a movie with you, since you have 2 extra tickets.
combination
You own 7 different books and are arranging them on a shelf.
permutation
In a box, there are 5 black pens, 3 white pens and 4 red pens. In how many ways can 2 black pens, 2 white pens and 2 red pens can be chosen?
combination
You received 5 Christmas cards and you want to arrange them on the single level shelf above your fireplace.
permutation
In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?
combination
In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
combination
In how many ways can a poker player obtain a 5 card hand that contains exactly three aces?
combination
Order does not matter
combination
How many ways can two cards be chosen from a deck of 52?
combination
How many ways can two puppies be chosen from a litter of five?
combination
If ten people shake hands with each other only once, what is the total number of handshakes?
combination
Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
combination
Selecting three students to attend a conference in Washington, D.C.
combination
The number of quadrilaterals that can be formed using six distinct points on the circumference of a circle is...?
combination
You are selecting 2 appetizers from a restaurant menu consisting of 4 appetizers.
combination
A polygon has 7 sides.How many diagonals can be formed?
combination
A research team of 6 scientists is to be chosen from 10 chemists, 14 biologists, and 12 physicists. How many possible research teams could be formed containing at most 1 physicist.
combination
A school committee of 5 is to be formed from 12 students.How many committees can be formed if John must be on the committee?
combination
Brandon wants to take 3 dogs with him on his morning walk. If Brandon owns 8 dogs, how many different groups of dogs can he choose for his walk?
combination
Determine the number of four card hands that contain at least 2 clubs.
combination
From 8 men and 5 women, a committee of 4 is selected. How many groups will have 3 women and 1 man?
combination
How many committees are possible if 5 people are chosen from 30?
combination
How many ways are there to deal a five-card hand consisting of three eight's and two sevens?
combination
How many ways can 3 CDs be selected from a collection of 10 CDs?
combination
How many ways can two books be picked from a list of six?
combination
Determine the number of grad-committee executives consisting of a President, Vice-President, Treasurer and Secretary that can be formed from a group of 15.
permutation
How many passwords can be made using the letters A, B, C, D, E, and F? (Using each letter only once)
permutation
How many schedules can be made if 6 classes are chosen from a list of 25?
permutation
How many three digit numbers can you make with the digits 1, 2, 3, 4, 5, 6, 7, 8, and 9?
permutation
How many ways can 3 people be seated on 5 chairs?
permutation
How many ways can you arrange 8 cars?
permutation
If you have 6 New Year greeting cards and you want to send them to 4 of your friends, in how many ways can this be done?
permutation
In a club of 30 members, how many ways can a president and vice president be chosen?
permutation
In a ten horse race, how many ways can the horses come in first, second, and third?
permutation
In how many different ways can five people stand in a line for a group photograph?
permutation
In how many ways can 4 girls and 5 boys be arranged in a row so that all the four girls are together?
permutation
In how many ways can the letters of the word "PROBLEM" be rearranged to make 7 letter words such that none of the letters repeat?
permutation
Order matters
permutation
Selecting a lead and an understudy for a school play.
permutation
Suppose you want to arrange your English, Hindi, Mathematics, History, Geography and Science books on a shelf. In how many ways can you do it?
permutation