Unit Test — Unit test Answers

A high school is hosting a blood drive. The sign-up sheet has 5 slots available for Mr. Bentley’s class and 6 slots available for Ms. Curren’s class. If there are 21 students in Mr. Bentley’s class and 23 students in Ms. Curren’s class, which expression represents the number of possible groups of students that can fill the 11 available slots?

A coach chooses six out of eight players to go to a skills workshop.If order does not matter, in how many ways can he choose the players for the workshop?

Consider the following sets.U = {all triangles}E = {x|x ∈ U and x is equilateral}I = {x|x ∈ U and x is isosceles}S = {x|x ∈ U and x is scalene}A = {x|x ∈ U and x is acute}O = {x|x ∈ U and x is obtuse}R = {x|x ∈ U and x is right}Which is a subset of I?

Circle B is inside of circle A.

There are 5 customers currently present in a coffee shop. Three of the customers are waiting in line at the front register. How many different lines of customers are possible?

2 circles labeled Set A and Set B overlap. Set A contains 1, set B contains 3, and the overlap of the 2 circles contains 2. The number 4 is outside of the circles.

Which event has a probability other than ?

Nine wolves, eight female and one male, are to be released into the wild three at a time.If the male wolf is to be in the first released group and order does not matter, in how many ways can the first group of three wolves be formed?

Viktoria knows that it is impossible to remove a red marble from her bag that has no red marbles in it. If she reaches into the bag and pulls out a marble without looking, what is the probability that the marble will be red?

The probability that a randomly selected point on the grid below is in the blue area is .Which expression can be used to find the probability that a randomly selected point is in the white area of the grid?

There are 22 participants in a spelling bee. In how many ways can the top 5 participants finish? Use the formula for permutations to find your answer.

The spinner is divided into 8 equal sections. What is the probability of spinning blue or green?

Twelve education students, in groups of four, are taking part in a student-teacher program. Mark cannot be in the first group because he will be arriving late.How many ways can the instructor choose the first group of four education students?

How many 2-letter combinations can be created from the distinct letters in the word “mathematician”? Assume that the order of the letters does not matter.

Miriam is visiting five friends in her neighborhood, Louise, Mike, Nicole, Oscar, and Pascal. In each arrangement below, the first initial of each person’s name represents that person’s position as he or she is visited by Miriam.Which shows all the outcomes for this event if she visits with Nicole first and Louise last?

A coin is thrown at random into the square below.What is the likelihood that the coin will fall into the green region of the square?