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To win at LOTTO in one​ state, one must correctly select 6 numbers from a collection of 63 numbers​ (1 through63​).The order in which the selection is made does not matter. How many different selections are​ possible?

Question
To win at LOTTO in one​ state, one must correctly select 6 numbers from a collection of 63 numbers​ (1 through
63​).
The order in which the selection is made does not matter. How many different selections are​ possible?
 
check_circleAnswer
Step 1

Here, the order in which the selection is made does ...

n!
C
,=
r!(n-r)
63!
6(63-6)
63!
6!57!
63!
6!57!
67,945,521
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n! C ,= r!(n-r) 63! 6(63-6) 63! 6!57! 63! 6!57! 67,945,521

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