10.2 Combination

A Mathmatics test contains five different questions labeled A, B, C, D, and E. You are supposed to choose 2 to answer. How many different ways are there to do this?

Benedic wants to order a sandwich with two of the following ingredients: mushroom, eggplant, tomato, and avocado. How many different sandwiches can Benedic choose?

There are 9 girls and 6 boys in a class. Four students need to be selected to help clean up the campus. What is the probability that only boys will be chosen?

Round to the nearest thousandth.

Tags

CCSS.HSS.CP.B.9

A basketball team has 12 members who can play any position. How many different ways can the coach choose 5 starting players?

You are ordering a triple-scoop ice-cream cone. There are 18 flavours to choose from and you don’t care which flavor is on the top, middle, or bottom. How many different ways can you select a triple-scoop ice-cream cone?

Six friends are going to play a game. Each team has 3 players. How many different team combinations are possible?

Which of the following is an example of combination?

• Form a passcode with 4 digits

• Students line up in a queue to assembly

• Choose 4 students in a class committee

• Choose the chairperson, secretary and treasurer in a club

An election ballot asks voters to select three city commissioners from a group of six candidates.  In how many ways can this be done?

It is an arrangement of a set of distinct object in which order is not important.

• Permutation

• Cyclic Permutation

• Combination

• Distinguishable Permutation

nCr(50,2)