Probability Permutation Combination

Permutation is the situation when

• different result occurs when positions of objects are switched

• 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

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 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

What does ₁₀P₅ mean?

• Permutations with 5 choices and 10 positions

• Permutations with 10 choices and 5 positions

• Permutations with 5 numbers and 10 operations

• Permutations with 5 hot dogs and 10 drinks

A coin is flipped 3 times. If you get tails once you get $5, tails twice you get $15, and tails on all three flips you get $40. What is the expected amount of money you will get?

• $12.50

• $5

• $7.50

• $10

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

How many ways can you arrange 2 letters from the word
S Q U A R E?

• 30

• 140

• 320

• 45