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vitfil [10]
3 years ago
11

To win at LOTTO in a certain state, one must correctly select 6 numbers from a collection of 52 numbers (1 through 52.) The orde

r in which the selections is made does not matter. How many different selections are possible
Mathematics
1 answer:
grandymaker [24]3 years ago
6 0

Answer:  14,658,134,400

<u>Step-by-step explanation:</u>

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:

\dfrac{52!}{(52-6)!}=\dfrac{52!}{46!}=\dfrac{52\times 51\times 50\times 49\times 48\times 47 \times 46!}{46!}\\\\\\.\qquad \qquad \qquad \quad = 52\times 51\times 50\times 49\times 48\times 47\\ \\\\.\qquad \qquad \qquad \quad =\large\boxed{14,658,134,400}

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