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The odds of winning division 1 Powerball is stated to be $134490400:1$. That is, you guess the exact draw of 7 unique balls from a drum with 35 balls, and the correct Powerball from another drum that has 20 unique balls.

Powerball Game

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I can't figure out how they got these odds. I calculated $\left(^{35} P_{7}\right) \cdot 20 = 677831616000$ possible ticket permutations. Where did I go wrong?

Cheese Cake
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Freddy Mcloughlan
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1 Answers1

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The order in which you select the numbers is irrelevant here, thus you will get the correct answer as

$\binom{35}7\times 20 =134490400$ combinations

of which only one will give you the division 1 prize

true blue anil
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