tristan tried his luck with the lottery. he can win $60 if he can correctly choose the 2 numbers drawn. if order matters and there are 10 numbers in the drawing, how many different ways could the winning numbers be drawn?

Respuesta :

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:

brainly.com/question/11732255

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