The total number of ways the winning number can be drawn using the combination is 45.
Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order.
We have,
The Total numbers, n = 10
The Numbers to select, r = 2
The following combination formula is used to determine the potential winning numbers.
Total = ⁿCᵣ
Where,
n = 10 and r = 2
Substitute the values in the above equation,
Total = ¹⁰C₂
Using the combination formula,
ⁿCᵣ = n!/(n - r)!r!
So, we have
Total = 10! / 8! 2!
Total = 10 × 9 / 2
Total = 45
Hence, the number of ways is 45.
Learn more about combinations here:
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