Permutations and combinations worksheet series#

To calculate such permutations, we use the factorial function. In this case, we have to reduce the number of choices by one every time we make a selection. The second category is calculating permutations without repetition. Here n is the total number of options or choices that are available, and r is the number of selections or choices that you have to make. We can calculate permutations without repetition using the formula n r.

All you need for the calculation such type of permutations is the number of choices available and the number of choices you must make. Permutations - The easiest of the two is one where repetition is allowed. When working on the combinations or permutations, there are two categories, one where repetition is allowed and the other where repetition is not allowed. When the order does not matter, we use combinations and when changing the order will affect the outcome, we use permutations. Out of these two, combination is the most used term and not many people think about 'order' when they use this term. When it comes to defining the order of objects or occurrence of events, there are two terms that we use in mathematics, and these are permutations and combinations.

Permutations and combinations worksheet series#

In statistics we will often come across situations that entail a series or cadre of events. Quiz 3 - How many ways can 7 people be arranged around a roundtable?.How many different ways can she order her water bottles? Quiz 2 - Kelly has 5 water bottles in her desk.Quiz 1 - How many 4 digit numbers can we make using the digits 3, 6, 7 and 8 without repetitions?.Make sure to speak to students on the possible arrangement of letters in words that have two of the same letter. In how many different ways could you arrange them? Practice 3 - 8 different books are on a shelf.In how many different ways can she visit them? Practice 2 - Maria has to visit 6 different places.

Practice 1 - How many ways can the letters of the word PARK be arranged?.

In how many different orders can the mobile phones be arranged?Īrrange letters in a word are the most common questions we have seen.

Homework 3 - Paul has 3 mobile phones in his desk.

In how many ways can he pick 6 marbles from the bag?

Homework 2 - John has 10 marbles in his bag.

Homework 1 - How many different combinations of management can there be to fill the positions of principal and vice principal of a school knowing that there are 11 eligible candidates?.

We look at the possible number of candidates and outcomes for different situations.

Answer Keys - These are for all the unlocked materials above.

Matching Worksheet - Match the problems to the number of possible combinations that you see.

Practice Worksheet - We use the same formula to solve all the problems.

Guided Lesson Explanation - It is also helpful to draw images along with the values.

Guided Lesson - Arranging water bottles, seven colors of the rainbow, and grabbing cricket bats.

Bag of Candy Step-by-step Lesson- 16 candidates, 3 positions on the tennis club board.