Question
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To win the lottery, one must correctly select six numbers from a collection of 50 numbers (one through 50 ). The order in
which the selection is made, does not matter. The number of different possible selections is
Select one:
a. 15890700 .
b. 2300 .
c. 300 .
d. 13800 .

Ask by Romero Osborne. in South Africa
Mar 27,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

There are 15,890,700 different possible selections.

Solution

We are selecting numbers from without regard to order. The number of ways to do this is given by the combination formula
This formula simplifies to
When this product is computed, the result is
Thus, the correct answer is

Answered by UpStudy AI and reviewed by a Professional Tutor

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Extra Insights

The total number of combinations for selecting six numbers from 50 can be calculated using the formula for combinations: C(n, k) = n! / (k!(n-k)!), where n is the total number of items to choose from, and k is the number of items to choose. In this case, it translates to C(50, 6), which yields 15,890,700. So, your answer is (a) 15890700.
Many people dream about hitting the jackpot, but the odds are fierce! In fact, the chances of winning a typical lottery can be millions to one. Instead of relying on luck alone, consider playing games with better odds, like scratch tickets or state lotteries, where the prize may be smaller but the odds of winning are much better!

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