Question
Use the formula for $_{n} C_{r}$ to solve Exercises.To win in the New York State lottery, one must correctly select 6 numbers from 59 numbers. The order in which the selection is made does not matter. How many different selections are possible?
Step 1
This is a combination problem, which can be solved using the combination formula $_{n} C_{r} = \frac{n!}{r!(n-r)!}$, where n is the total number of options, r is the number of options chosen, and "!" denotes factorial. Show more…
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Use the formula for nCr to solve: To win in the New York State lottery, one must correctly select 6 numbers from 59 numbers. The order in which the selection is made does not matter. How many different selections are possible?
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