Lottery probabilities

label Mathematics
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schedule 1 Day
account_balance_wallet $5

To win at LOTTO in a certain state, one must correctly select 6 numbers from a collection of 55 numbers (one through 55). The order in which the selections is made does not matter. How many different selections are possible.  

I believe this problem uses nCr or nPr on the calculator but it may be one factor raised to the power of the other factor... help is appreciated

May 13th, 2015

You're very right; the problem uses nCr as the order does not matter. If done on a calculator it would be calculated by typing 55C6. If calculating manually, we can use the formula for nCr which is: nCr=n!/(r!(n-r)!).

Therefore, the answer to your question would be 55C6=55!/(6!49!)=28989675, quite a lot of combinations!

May 13th, 2015

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May 13th, 2015
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May 13th, 2015
Jun 27th, 2017
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