Probability Combination Permutation

There are 7 students in a class: 5 boys and 2 girls.
If the teacher picks a group of 4 at random, what is the probability that everyone in the group is a boy?

• 5/7

• 1/7

• 2/7

• 1

Which of the following methods would NOT be a good way to solve the following problem? Sarah plays softball over the summer.  If there are 10 players on the team, how many ways can the coach make a batting order that includes all players?

• Permutation

• Counting Principles

• Factorial

• Combination

How many ways can you arrange 7 books on a shelf?

• 7

• 49

• 343

• 5,040

The following M & M colors are in the bowl:
4 yellow, 6 orange, 3 green, 5 blue, 2 brown
What is the probability of selecting a yellow candy, not replacing it, then selecting a green candy? (Simplify)

• 1/5

• 3/19

• 3/95

• 12/380

Permutation is the situation when

• A different result occurs when positions of objects are switched

• The same result occurs when positions of objects are switched

• counting principles are applied

• I don't know

Combination is the situation when

• A different result occurs when positions of objects are switched

• The same result occurs when positions of objects are switched

• counting principles are applied

• I don't know

When do we use the formula "nPr"?

• Permutation. All objects distinct

• Permutation. Some identical objects

• Arranging people in a row

• Forming a group of r objects

When do we use the formula "n!/(a!*b!*...)"?

• Permutation. All objects distinct

• Permutation. Some identical objects

• Arranging people in a row

• Forming a group of r objects

Find the theoretical probability of NOT landing on yellow if you spin the spinner.

• 1/8

• 7/8

• 1

• 7

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

• combination

• permutation

• neither