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Bruno is designing his next skateboard. The skateboard store has 3 types of grip tape, 13 types of decks, 7 types of trucks, 4 types of bearings, and 2 types of wheels. How many different skateboards can Bruno create? Assume each skateboard will contain only one type of each component.

Bruno is designing his next skateboard. The skateboard store has 33 types of grip tape, 1313 types of decks, 77 types of trucks, 44 types of bearings, and 22 types of wheels.\newlineHow many different skateboards can Bruno create? Assume each skateboard will contain only one type of each component.

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Full solution

Q. Bruno is designing his next skateboard. The skateboard store has 33 types of grip tape, 1313 types of decks, 77 types of trucks, 44 types of bearings, and 22 types of wheels.\newlineHow many different skateboards can Bruno create? Assume each skateboard will contain only one type of each component.
  1. Grip Tape Choices: Bruno has 33 choices for grip tape.
  2. Deck Choices: He has 1313 choices for decks.
  3. Truck Choices: He has 77 choices for trucks.
  4. Bearing Choices: He has 44 choices for bearings.
  5. Wheel Choices: And he has 22 choices for wheels.
  6. Total Combinations: To find the total combinations, multiply the number of choices for each component.\newlineSo, total combinations = 33 (grip tape) ×13\times 13 (decks) ×7\times 7 (trucks) ×4\times 4 (bearings) ×2\times 2 (wheels).
  7. Calculation: Calculating this gives us: 3×13×7×4×2=21843 \times 13 \times 7 \times 4 \times 2 = 2184.

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