Understanding Combinations and Permutations

The video tutorial explains the concepts of combinations and permutations, highlighting the importance of order in permutations. It provides a detailed walkthrough of simplifying a combination and a permutation problem using factorials. The tutorial also demonstrates how to verify these calculations using a graphing calculator, ensuring the correct application of mathematical principles.

What is the key difference between a combination and a permutation?

• Combinations consider order, permutations do not.

• Permutations consider order, combinations do not.

• Neither consider order.

• Both consider order.

In a combination, what does the denominator of the formula consist of?

• n minus r factorial

• n factorial

• r factorial

• n minus r factorial times r factorial

When simplifying 9 choose 3, what is the result?

• 720

• 504

• 120

• 84

What is the formula for a permutation?

• n factorial divided by n minus r factorial

• n minus r factorial divided by r factorial

• n factorial divided by r factorial

• r factorial divided by n factorial

What is the result of 9 permute 3?

• 120

• 720

• 504

• 84

Why is the number of permutations generally higher than combinations?

• Because combinations do not consider order.

• Because permutations do not consider order.

• Because combinations consider order.

• Because permutations consider order.

How do you select the combination function on a graphing calculator?

• Math, right arrow to probability, option 4

• Math, right arrow to probability, option 3

• Math, right arrow to probability, option 2

• Math, right arrow to probability, option 1

What is the first step in using a graphing calculator to find a permutation?

• Select option 2

• Enter r

• Enter n

• Select option 3

Which option on the graphing calculator is used for permutations?

• Option 1

• Option 2

• Option 3

• Option 4

What is the final step after entering n and r for a combination on a calculator?

• Press enter

• Press clear

• Select option 4

• Select option 1