Counting Principle, Permutations and Combinations

Permutation, combination, or neither?
A team of 8 basketball players need to choose a co-captain and captain.

• combination
• permutation
• neither

Permutation, combination, or neither?
Rob and Mary are planning trips to 9 countries this year.  There are 13 countries they would like to visit.  They are deciding which countries to skip.

• combination
• permutation
• neither

Permutation, combination, or neither?
The batting order for seven players on a 12 person team.

• combination
• permutation
• neither

Permutation, combination, or neither?
There are 45 applicants for three Computer Programmer job positions.

• combination
• permutation
• neither

Permutation, combination, or neither?

You have 6 framed portraits. How many ways can you arrange 4 of them on the top of your bookshelf?

• combination

• permutation

• neither

• Jesus is the answer

Permutation, combination, or neither?
Walking into a Gamestop and picking 2 games to buy.

• combination
• permutation
• neither

Find the number of possibilities:
Castel and Joe are planning trips to three countries this year.  There are 7 countries they would like to visit.  One trip will be one week long, another 2 days, and the other 2 weeks.

• 210
• 35
• 28

Find the number of possibilities:
A group of 25 people are going to run a race.  The top 8 finishers advance to finals.

• 625
• 4.36 X 10¹⁰
• 1,081,575

Find the number of possibilities:
A team of 17 softball players needs to choose three players to refill the water cooler.

• 272
• 4080
• 680

Find the number of possibilities:
5 out of 13 students ride in a car instead of a van.

• 154,440
• 1,287
• 1716