Permutations and Combinations

Permutations and Combinations

A Permutation refers to a list of numbers in a definite order

Note the way to solve these permutations...

Multiple Choice

What is the solution?

• 5040

• 289

• 210

• 35

The Permutation formula can be used to solve many word problems. For example:

• A team of 15 basketball players need to choose a Captain & a Co-captain. How many ways can that selection be made?

• Using the equation _nP_k what would be the value of n?

• ... and what would be the value of k?

• Give your answer for the number of ways on the next slide.

Multiple Choice

A team of 15 basketball players need to choose a Captain & a Co-captain. How many ways can that selection be made?

• 5140

• 280

• 210

• 35

Combination refers to a list of numbers where the order doesn't matter at all.

So here's an example for one of the ways to solve a Combination problem...

Notice that the formula is exactly the same as for Permutation, except there's an extra k! in the denominator.

Combinations can also be used to solve word problems. For example...

• Ted and Julia are planning trips to six countries this year. There are 10 countries they would like to visit. They are deciding which countries to skip.

• Solve this problems and select you answer from the choices on the next slide.

Multiple Choice

Ted and Julia are planning trips to six countries this year. There are 10 countries they would like to visit. They are deciding which countries to skip.

• 5140

• 280

• 210

• 35

Poll

Well, that's all for this presentation. Please select the answer below that best reflects you thoughts about the way this lesson was presented.

• I loved it. I suggest using it often.

• It was OK... use occasionally.

• Not sure

• I didn't like it. You should avoid using it.