SOLUTION: B) A lottery has 52 numbers. In how many different ways can 6 numbers be selected ? Ans 52C6 = 20358520 C) If you bought one ticket in the lottery drawing in (b) above what wo

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Question 1142236: B) A lottery has 52 numbers. In how many different ways can 6 numbers be selected ?
Ans 52C6 = 20358520
C) If you bought one ticket in the lottery drawing in (b) above what would be the probability that you would win the big lottery?
Found 2 solutions by ikleyn, Alan3354:
Answer by ikleyn(52777)   (Show Source): You can put this solution on YOUR website!
.

Looking into your post, I do not understand clearly, what is your problem.


You just have the answer to (b), and this answer is CORRECT.




The answer to (c) is OBVIOUS:  the probability = 1/2035820.


If you want to learn more about combinations, look into the introductory lessons
    - Introduction to Combinations
    - PROOF of the formula on the number of Combinations
    - Problems on Combinations
    - OVERVIEW of lessons on Permutations and Combinations
in this site.

Also,  you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic  "Combinatorics: Combinations and permutations".


Save the link to this textbook together with its description

Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson

into your archive and use when it is needed.



Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
B) A lottery has 52 numbers. In how many different ways can 6 numbers be selected ?
Ans 52C6 = 20358520
-----------------
The 1st choice is 1 of 52
Then 1 of 51, etc
---> 52*51*50*49*48*47
But, any of the numbers can be picked the 1st, 2nd, ... 6th time.
---> 1*2*3*4*5*6 ways to choose any combination = 720 ways.
-----------
52*51*50*49*48*47/720 = 20358520 ways.
-------------------------
C) If you bought one ticket in the lottery drawing in (b) above what would be the probability that you would win the big lottery?
----
It's 1 out of 20358520 ways.
==================
Or, as my sister-in-law says: it's 50-50. You either win, or you don't.
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