SOLUTION: MAT 145: Topics In Contemporary Math Permutations and Combinations 5. There are 30 teams in the National Basketball Association. How many different draft lotteries (top 8 draf

Question 1190907: MAT 145: Topics In Contemporary Math
Permutations and Combinations
5. There are 30 teams in the National Basketball Association. How many different draft lotteries (top 8 draft picks) are possible?
Answer by math_tutor2020(3816) (Show Source): You can put this solution on YOUR website!

There are 30 choices for the first pick in the draft.
Then there are 29 choices for the second pick.
Then 28 choices for the third, and so on.

We start at 30 and count down until we have 8 slots to fill up
30, 29, 28, 27
26, 25, 24, 23

Multiply out those values:
30*29*28*27*26*25*24*23 = 235,989,936,000
This number is just a bit under 236 billion

Alternatively, you can use the nPr permutation formula with n = 30 and r = 8.
We use a permutation because order matters.

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