Question

to win at lotto in one state, one must correctly select 4 numbers from a collection of 45 numbers (1 through 45). the order in which the selection is made does not matter. how many different selections are possible?
there are \\(\square\\) different lotto selections.

Explanation:

Step1: Identify the combination formula

The formula for combinations is \(C(n,r)=\frac{n!}{r!(n - r)!}\), where \(n = 45\) (total number of numbers) and \(r=4\) (numbers to be selected).

Step2: Calculate factorial values

\(n!=45! = 45\times44\times43\times42\times41!\), \(r!=4! = 4\times3\times2\times1=24\), and \((n - r)!=(45 - 4)!=41!\)

Step3: Substitute into the formula

$$
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$$

Step4: Simplify the expression

$$
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$$

Answer:

\(148995\)