Question

To win at LOTTO in one​ state, one must correctly select 4 numbers from a collection of 50 numbers​ (1 through 50​). The order in which the selection is made does not matter. How many different selections are​ possible?

Answer 1

230,300 different selections.

Explanation:

If the order does not matter, the number of possible different selections is determined as the combination of choosing four numbers out of 50:

`n=(50!)/((50-4)!4!)\\\\n=(50*49*48*47)/(4*3*2*1) \\\\n=230,300\ combinations`

There are 230,300 possible different selections.