Use the formula for _n C_r to solve Exercise. To win at LOTTO in the state of Florida, one must correctly select 6 numbers from a collection of 53 numbers (1 through 53). The order in which the selection is made does not matter. How many different selections are possible?
Added by Marvin W.
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This is a combination problem, since the order does not matter. We can use the formula for combinations, which is: _n C_r = \frac{n!}{r!(n-r)!} In this case, n = 53 (the total number of numbers) and r = 6 (the number of numbers we need to choose). Plugging these Show more…
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