Finding Outcomes — Test Answers

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 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?

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.

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?

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?

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.

A sandwich shop sells sandwiches with several different types of meat, several different types of bread, and several different types of cheese.Sandwich SelectionsMeatBreadCheeseTurkeyWhiteCheddarHamWheatAmericanRoast BeefWhole GrainProvolone SwissHow many different sandwich combinations can be ordered from the shop?

A grocery store carries the same 8 flavors of 4 brands of yogurt. Every flavor for each brand is sold in single-serving and quart-sized containers. How many different brand/flavor/size combinations of yogurt does the store sell?

A store sells notebooks with each of the combinations of color, binding, and dividers shown in the table.Notebook FeaturesColorBindingDividerRedSpiralPocketsBlue3-ringNo PocketsGreen Yellow Black Which statements are true about the variety of notebooks that the store sells? Check all that apply.

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?

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?