Each student's locker combination at Guion Creek Middle School contains three numbers ranging from 0 to 49 Alex and Dante are playing a game with their locker combinations.  Alex is giving Dante hints to his locker combination to see if Dante can guess the combination   A.  Alex's first hint is that the first number in the combination is a 3,4, or a 5.  How many possible choices are there for the 1st Number?   B.  The hint for the second number is that it is NOT a 3 or a 4.  How many possible numbers are there for the 2nd number?   C.  The hint for the third number is that it is an odd number.  How many possible numbers are there for the 3rd number? D. How many possible combinations are there? E.  What is the probability that 3:32:7 is Alex's combination?  leave your answer as a fraction with NO spaces Answer for A:____________ Answer for B:______________ Answer for C:____________ Answer for D:________________

There are five nickels and four dimes in your pocket. Three of the nickels and two of the dimes are Canadian. The others are US currency. You randomly select a coin from your pocket. It is a nickels or is US currency.

For his Carnival project, Chester designed a game where players pick a random marble from a bag. In the bag there are 2 pink marbles, 10 green marbles, and 8 white marbles. If players draw a pink marble they get a large candy bar prize, if they draw a green marble they get a small lollipop prize, and if they draw a white marble they get a fist bump. Chester purchased a set of 16 candy bars for $12 and a bag of 200 lollipops for $20. Answer the following questions: What is Chester's expected cost per game? $  If Chester plans for 40 people to play his game, How many candy bars should he expect to give out?  How many lollipops should he expect to give out?

For a class activity, a teacher put students into teams of 5. The teams were made up of 2 students randomly chosen from group A and 3 students randomly chosen from group B. If group A has 4 students and group B has 6 students, how many different team combinations were possible? Enter your answer as a number, like this: 42

Last year a group of 48 students enrolled in Mathematic, French, and Physics. Some students were more successful than others:   –32 passed French, 27 passed Physics, and 33 passed Mathematics;   –26 passed French and Mathematics, 26 passed Physics and Mathematics, and 21 passed French and Physics;   –21 passed French, Mathematics, and Physics. How many students passed one or more of the subject?   Please write clearly thank you.

In a math class, one of your 4 test scores is dropped. On the first three tests, you have the following scores: 78, 35, and 95. What score do you need on the next test for your average to be 75 (assuming you drop the lowest test score)?

Heidi has 4 necklaces and 6 pairs of earrings. In how many different ways can she select a necklace and a pair of earrings to wear?

Professor Easy's final examination has 12 true-false questions followed by 3 multiple-choice questions. In each of the multiple-choice questions, you must select the correct answer from a list of six. How many answer sheets are possible?

Professor Tough's final examination has 20 true-false questions followed by 3 multiple-choice questions. In each of the multiple-choice questions, you must select the correct answer from a list of five. How many answer sheets are possible?

Sonic’s Drive-In Burgers had a Classic Car Cruise one night. They played oldies music, the servers wore roller skates, and there were 152 classic cars on display. Josie, the restaurant owner, played a game with the car owners. First everyone was told to turn their headlights on. Then Josie counted every other car (the 2nd, 4th, 6th, and so on), and told them to turn their headlights off. After that Josie counted every 3rd car (3rd, 6th, 9th, and so on). Those car owners were told to turn their headlights on If they were off, and turn their headlights off if they were on. She continued in this way, counting by every number (by 4’s, then by 5’s, then by 6’s, etc.) until she had finished counting by 152’s (which didn’t take long, since that’s how many cars there were.) As she counted, every car she pointed to reversed their lights from off to on or vice versa. When she was done, which cars still had their lights on?