Calculating Permutations and Combinations with TI-84

This video tutorial explains how to compute permutations and combinations using a TI-83 or TI-84 calculator. It covers the difference between permutations and combinations, emphasizing when order matters. The video provides step-by-step instructions for calculating both permutations and combinations using the calculator, as well as using the multiplication rule for permutations. Several examples are provided, including selecting people for specific roles and ordering commercials, to illustrate the concepts.

What is the key difference between permutations and combinations?

• Permutations require a calculator; combinations do not.

• Combinations focus on order; permutations do not.

• Permutations are about ordering; combinations are about grouping without regard to order.

• Combinations are used only in mathematics; permutations are used in real life.

How do you express a combination using the TI-83 or TI-84 calculator?

• Using the P symbol followed by the values of n and r.

• Using the C symbol followed by the values of n and r.

• By typing the values of n and r directly.

• Through the math menu, selecting the 'nCr' function.

What is the result of selecting 3 people out of 10 using combinations?

• 30

• 120

• 100

• 720

What is the purpose of using the 'nCr' function on a calculator?

• To calculate the number of possible combinations.

• To calculate the number of possible permutations.

• To add all numbers from 1 to n.

• To determine the factorial of a number.

When calculating permutations, what symbol is used on the TI-83 or TI-84 calculator?

• C

• P

• nPr

• nCr

What is the number of ways to select a president, vice president, and secretary from 10 people?

• 120

• 30

• 330

• 720

How does the multiplication rule apply to permutations?

• By dividing the total number of items by the number of positions.

• By adding the number of possibilities for each position.

• By subtracting the number of possibilities for each position.

• By multiplying the number of possibilities for each position.

Which method does not require remembering if you're doing a permutation or a combination?

• The multiplication rule

• Direct calculation

• The factorial method

• The 'nPr' and 'nCr' functions

What is the result of reordering 5 commercials during a one-hour show?

• 5

• 25

• 720

• 120

How many four-member committees can be formed from 11 people?

• 330

• 120

• 210

• 11