by BlastRoom
Multiplying the choices at each stage to count the arrangements, with and without restrictions.
#probability_and_statistics

40 questions
One question set, multiple game modes. Tap any game to see it in action. Not sure which to pick?
Answer to place stones and capture territory.
Outrun the snow together.
Earn blasts, then hunt the other team.
Answer to earn energy, then climb.

The class blasts through walls together.
Bid on mystery lots. Most money wins.
Sell tours. Nice, standard, or a total scam.
Answer, restock, and serve the rush.
More correct answers pulls the rope your way.
Answer, then shoot down the alien wave.
Answer, then tap to leap the frozen ridge.
A school lunch is built from 6 entrees, 4 sides, and 3 drinks. How many different lunches can be built by choosing one of each?
A music app playlist starts with 5 possible opening songs, then 6 possible middle songs, then 4 possible ending songs. How many playlists can be made?
A club T-shirt order has 4 shirt colors, 5 logo designs, and 3 sleeve styles. How many different T-shirt designs are possible?
A smoothie shop lets a student choose 3 cup sizes, 6 fruit bases, and 4 toppings. How many smoothies are possible with one choice from each stage?
A robotics team creates a robot name using one prefix from 8 choices, one animal word from 5 choices, and one color from 4 choices. How many names are possible?
A student chooses one notebook from 7 cover designs, one pen color from 6 colors, and one sticker from 5 stickers. How many supply sets are possible?
A school talent show act chooses 4 stage backgrounds, 3 lighting colors, 5 entrance songs, and 2 microphone types. How many setups are possible?
A snack box has 5 cracker choices, 4 cheese choices, 6 fruit choices, and 3 drink choices. How many snack boxes can be made?
A study website assigns a practice set by choosing 9 topics, 4 difficulty levels, and 5 question formats. How many practice sets are possible?
A field trip badge uses one school icon from 6 choices, one background color from 7 choices, and one border style from 2 choices. Find the number of badge designs.
A video game character is built from 8 hair styles, 6 outfits, 4 backpacks, and 3 shoe colors. How many characters can be built?
A class survey code uses one grade level from 4 choices, one homeroom from 8 choices, and one survey version from 3 choices. How many codes are possible?
A library shelf code has one letter A through Z followed by one digit 0 through 9 and one color from 5 labels. The letters O and I are not used. How many codes are possible?
A bike lock code has one letter from A through F, then two digits from 0 through 9. The first digit cannot be 0. How many codes are possible?
A school parking pass has 3 letters followed by 2 digits. Each letter is chosen from 20 approved letters, and the first digit cannot be 0. How many passes are possible?
A cafeteria meal deal has 7 sandwiches, 5 sides, and 4 drinks, but one drink choice is unavailable today. How many meal deals can be ordered?
A phone password has 4 characters: a lowercase letter, a digit, a symbol, and a final digit. There are 26 letters and 8 symbols, but the final digit cannot be 0 or 1. How many passwords are possible?
A race bib has one color from 6 choices and a two-digit number from 00 to 99. Numbers ending in 5 are not used. How many bibs are possible?
An online quiz ID uses one class from 5 choices, one unit from 8 choices, and one version letter from A through D. Version D is held for teachers only. How many student quiz IDs are possible?
A theater ticket code has one section from 4 choices, one row letter from A through M, and one seat digit from 1 through 9. Row I is skipped. How many ticket codes are possible?
A science fair project label uses one category from 9 choices, one table number from 1 through 8, and one judge code from 6 choices. Category 9 is not used for student projects. How many labels are possible?
A locker combination uses three wheels. The first wheel has 12 letters, the second has 10 digits, and the third has 8 symbols. Two symbols are blocked. How many combinations are possible?
A relay team has 5 named runners assigned to first, second, third, fourth, and fifth legs. Each runner runs exactly one leg. How many assignments are possible?
A student council elects a president, vice president, secretary, and treasurer from 6 candidates. No person can hold more than one office. How many election outcomes are possible?
A coach chooses a first, second, and third batter from 9 players. No player can bat in more than one of those spots. How many batting orders are possible?
A drama teacher assigns 4 different speaking roles to 7 students. Each student can receive at most one role. How many role assignments are possible?
A password uses 3 different digits from 0 through 9, and no digit may repeat. How many passwords are possible if order matters?
A class display puts 6 student posters in first, second, and third positions along a wall. A poster cannot be used twice. How many displays are possible?
A radio station plays 4 songs in a row from a list of 8 songs. It does not repeat a song. How many song orders are possible?
A teacher lines up 5 lab stations from 5 different activities, using each activity exactly once. The safety station must go first. How many lineups are possible?
A game assigns gold, silver, and bronze badges to 12 players. A player cannot receive more than one badge. How many badge assignments are possible?
A book club schedules 4 different books for September through December from 9 choices, with no book repeated. How many schedules are possible?
A vending machine creates a snack code with a letter from A through E followed by a digit from 1 through 4. Every code is equally likely. What is the probability of code C3, as a fraction in lowest terms?
A random locker label uses one color from 6 colors and one number from 1 through 8. Every label is equally likely. What is the probability of getting the green label with number 4?
A game spinner chooses one animal from 5 animals and one habitat from 3 habitats, with all pairs equally likely. What is the probability of getting fox and forest?
A study app randomly picks one subject from 4 subjects, one level from 5 levels, and one question type from 2 types. What is the probability of math, level 3, and multiple choice?
A school raffle code has one letter from A through D and two digits from 0 through 9. All codes are equally likely. What is the probability of drawing code B27?
A music generator selects one genre from 6 genres, one tempo from 4 tempos, and one instrument from 5 instruments. All outcomes are equally likely. What is the probability of jazz, fast, and piano?
A random breakfast order chooses one grain from 3 choices, one fruit from 6 choices, and one drink from 4 choices. What is the probability of oatmeal, banana, and water?
A practice test randomly selects one unit from 8 units and one form from 5 forms. Each pair is equally likely. What is the probability of unit 2 with form C?
Crack the passcode before the zombies get in.
Answer, then swat bugs for bonus points.
Race through questions at your own speed.
Same question on every screen. Fastest wins.

Pick a tile, answer, hit bonuses and steals.
Permutation or Combination?
24 questions