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A state lottery draws six numbers between 1 and 63. If you

wanted to buy every combination possible, how many combinations are
there?

1 Answer

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Final answer:

The number of combinations for buying every possible combination in a state lottery drawing can be found using the concept of combination.

Step-by-step explanation:

The number of combinations for this state lottery drawing can be found using the concept of combination. The formula to find the number of combinations is nCr = n! / (r!(n-r)!), where n is the total number of options and r is the number of options chosen. In this case, we have 63 options to choose from and we want to choose 6 numbers. Therefore, the number of combinations is 63C6 = 63! / (6!(63-6)!).

To calculate this, we need to find the factorials of 63 and 6. A factorial is the product of a number and all positive integers less than it. Using a calculator or computer program, we can find that 63! is approximately 3.6843 x 10^88 and 6! is 720.

Plugging these values into the combination formula, we get:

63C6 = 3.6843 x 10^88 / (720 x (3.6843 x 10^88 - 720))

Simplifying this expression, we get the final result for the number of combinations.

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