Determining the Value of nCr

Common Guidelines of nCr

• if r = 0 of if r = n, nCr = 1
• if r = 1 or if r = n - 1, nCr = n

Evaluating Combinations Using a Graphing Calculator

Solving for n in nCr

Solving for r in nCr

Choosing 6 People from 19 People

How many ways can 6 people be chosing from 19 total people?

8 People Shaking Hands

If 8 people shake hands with every other person, how many total handshakes are there?

Taking a Test

If a test requires you to choose exactly 15 of 18 questions in part A, and exactly 8 of 10 in part B, how many ways can the test be taken?

Choosing Players for a Co-ed Volleyball Team

If a co-ed vollyball team has 8 males and 11 females, how many ways can a lineup of 6 players, consisting of 3 boys and 3 girls, be chosen?

Connecting Points on a Circle

If there are 7 points on a circle, how many lines can be created by connecting 2 points? How many triangles can be created by connecting 3 points?

Chance of Winning the Lottery

What is the chance of winning the lottery?

Dealing 5 Cards

How many 5 card hands can be dealt from a deck of 52 cards?