Distinguishable Permutation and 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?

• 5

• 10

• 15

Four students need to be selected from a class

of 15 to help clean up the campus. How many different ways can the 4 students be chosen?

• 32 760

• 60

• 1 365

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

• 95 040

• 792

• 60

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?

• 54

• 816

• 4896

How many ways can 8 runners finish in the top 3 places where the prizes for 1^st, 2^nd, and 3^rd are all different and matter?

Mathematical Equivalence

ON

Determine whether the following scenarios are a permutation or a combination:
 
Selecting a lead and an understudy for a school play.

• Combination

• Permutation

In how many ways can a group of 4 boys be selected from 10 if the oldest boy is included in each group?

• 84

• 81

• 504

• 6

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?

• 6!

• 120

• 20

• 3!

How would you solve?
From the 20 DVD's you purchased this past year, you plan to take five with you on vacation.  How many different sets of five DVD's can you take?

• Permutation

• Combination

• Factorial

• MPC