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# This is how Edward’s Lotteries work. First, 9 different numb

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This is how Edward’s Lotteries work. First, 9 different numb [#permalink]  08 May 2019, 10:07
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This is how Edward’s Lotteries work. First, 9 different numbers are selected. Tickets with exactly 6 of the 9 numbers randomly selected are printed such that no two tickets have the same set of numbers. Finally, the winning ticket is the one containing the 6 numbers drawn from the 9 randomly. There is exactly one winning ticket in the lottery system. How many tickets can the lottery system print?

(A) $$9P_6$$

(B) $$9P_3$$

(C) $$9C_9$$

(D) $$9C_6$$

(E) $$6^9$$
[Reveal] Spoiler: OA

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Manager
Joined: 22 Aug 2019
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Re: This is how Edward’s Lotteries work. First, 9 different numb [#permalink]  23 Aug 2019, 06:43
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Carcass wrote:
This is how Edward’s Lotteries work. First, 9 different numbers are selected. Tickets with exactly 6 of the 9 numbers randomly selected are printed such that no two tickets have the same set of numbers. Finally, the winning ticket is the one containing the 6 numbers drawn from the 9 randomly. There is exactly one winning ticket in the lottery system. How many tickets can the lottery system print?

(A) $$9P_6$$

(B) $$9P_3$$

(C) $$9C_9$$

(D) $$9C_6$$

(E) $$6^9$$

9 numbers, choose 6 of them. 9C6. D.
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Joined: 01 May 2019
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Re: This is how Edward’s Lotteries work. First, 9 different numb [#permalink]  10 Sep 2019, 19:44
Can someone explain this? I thought it would be 9P6 since it states that "Tickets with exactly 6 of the 9 numbers randomly selected are printed such that no two tickets have the same set of numbers.
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Re: This is how Edward’s Lotteries work. First, 9 different numb [#permalink]  10 Sep 2019, 22:47
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logann2 wrote:
Carcass wrote:
This is how Edward’s Lotteries work. First, 9 different numbers are selected. Tickets with exactly 6 of the 9 numbers randomly selected are printed such that no two tickets have the same set of numbers. Finally, the winning ticket is the one containing the 6 numbers drawn from the 9 randomly. There is exactly one winning ticket in the lottery system. How many tickets can the lottery system print?

(A) $$9P_6$$

(B) $$9P_3$$

(C) $$9C_9$$

(D) $$9C_6$$

(E) $$6^9$$

9 numbers, choose 6 of them. 9C6. D.

Selected exactly 6 of the 9 available numbers means they're randomly picking 6 of the 9 numbers. The part that lets you know that it's indeed a choose function and not permutation is that the problem says that "no two tickets contain the same numbers" and (paraphrasing) "the winning ticket contains the 6 winning numbers"

So order doesn't matter. Does that help?
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Re: This is how Edward’s Lotteries work. First, 9 different numb [#permalink]  11 Sep 2019, 09:18
logann2 wrote:
logann2 wrote:
Carcass wrote:
This is how Edward’s Lotteries work. First, 9 different numbers are selected. Tickets with exactly 6 of the 9 numbers randomly selected are printed such that no two tickets have the same set of numbers. Finally, the winning ticket is the one containing the 6 numbers drawn from the 9 randomly. There is exactly one winning ticket in the lottery system. How many tickets can the lottery system print?

(A) $$9P_6$$

(B) $$9P_3$$

(C) $$9C_9$$

(D) $$9C_6$$

(E) $$6^9$$

9 numbers, choose 6 of them. 9C6. D.

Selected exactly 6 of the 9 available numbers means they're randomly picking 6 of the 9 numbers. The part that lets you know that it's indeed a choose function and not permutation is that the problem says that "no two tickets contain the same numbers" and (paraphrasing) "the winning ticket contains the 6 winning numbers"

So order doesn't matter. Does that help?

Yes, Thanks
Re: This is how Edward’s Lotteries work. First, 9 different numb   [#permalink] 11 Sep 2019, 09:18
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