To win at LOTTO in a certain state, one must correctly select 6 numbers from a collection of 52 numbers (1 through 52.) The order in which the selections is made does not matter. How many different selections are possible

 14,658,134,400

Step-by-step explanation:

There are 52 numbers to start with.  After choosing the first number, there are 51 numbers remaining, etc.

1st   and   2nd   and   3rd    and   4th  and   5th  and  6th

52    x       51       x      50      x       49    x      48     x     47  = 14,658,134,400

You can also find the answer using the following formula:

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

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step-by-step explanation: