The order in which the numbers are drawn is not important will be 1287.
A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order.
When order of selecting things does not matter, then the combination odd n things taking r at a time is given by :-
[tex]nC_r=\dfrac{n!}{r!(n-r)!}[/tex]
Given : The total numbers in lottery = 13
The total numbers to choose to win the lottery =- 5
Then the combination of 13 numbers taken 5 at a time is given by
[tex]13C_r=\dfrac{13!}{5!(13-5)!}=1287[/tex]
Hence the order in which the numbers are drawn is not important will be 1287.
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