- #1

Darkmisc

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- Homework Statement
- How many ways can you get two heads in five coin tosses

- Relevant Equations
- 5C2 = 10

Hi everyone

I'm looking at binomial distributions and one of the examples uses 5C2 to calculate the number of ways you can get two heads from five coin tosses. I don't question that the formula is correct, I just find it hard to picture what the numbers represent.

The numbers make sense to me in the context of 5 choose 2. For example, if you are choosing a team of two from five people, 5 represents the number of choices for the first spot. Four represents the number of choices for the second spot. You then divide the permutations by two to avoid double counting.

What do the numbers mean in the case of five coin flips? I'm picturing it more as a case of 2 choose 5 (even though that's probably not a thing). You can choose between heads or tails and have five flips to fill.

If I were to represent the coin flip situation as 5x4/2, what would the 5, 4 and 2 mean?Thanks

I'm looking at binomial distributions and one of the examples uses 5C2 to calculate the number of ways you can get two heads from five coin tosses. I don't question that the formula is correct, I just find it hard to picture what the numbers represent.

The numbers make sense to me in the context of 5 choose 2. For example, if you are choosing a team of two from five people, 5 represents the number of choices for the first spot. Four represents the number of choices for the second spot. You then divide the permutations by two to avoid double counting.

What do the numbers mean in the case of five coin flips? I'm picturing it more as a case of 2 choose 5 (even though that's probably not a thing). You can choose between heads or tails and have five flips to fill.

If I were to represent the coin flip situation as 5x4/2, what would the 5, 4 and 2 mean?Thanks