Imagine you have 64 different flavors of ice cream, and you get to pick one, that’s what 64 possible combinations means! It's like having a big ice cream party with lots of choices.
Choosing Your Ice Cream
Let's say you're at an ice cream shop where they offer 2 types of cones (chocolate or vanilla) and 8 different kinds of ice cream (like chocolate, strawberry, vanilla, cookies and cream, and more). Each time you pick a cone and then pick your favorite flavor, that makes one combination.
If you do this for all the flavors, you'd have:
- 2 cones × 8 flavors = 16 combinations
Now imagine there are also 4 kinds of toppings (sprinkles, chocolate chips, caramel, or none at all). Each time you choose a topping, that adds another layer to your ice cream experience.
So now it’s:
- 2 cones × 8 flavors × 4 toppings = 64 combinations
That's why we say there are 64 possible combinations, because you can make 64 different kinds of ice cream treats with all the choices!
Examples
- Flipping a coin six times, how many different results are there?
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See also
- What are combinations?
- What are base conversions?
- What are permutations and combinations?
- What is XOR?
- How Does Permutations and Combinations Tutorial Work?