SOLUTION: Say you play the lottery you have to pick 7 numbers between 1-42 the possibilies for pick the 7 numbers are 26,997,328. What is the forumla to find out the possibilitise?

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Question 472872: Say you play the lottery you have to pick 7 numbers between 1-42 the possibilies for pick the 7 numbers are 26,997,328. What is the forumla to find out the possibilitise?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Say you play the lottery you have to pick 7 numbers between 1-42 the possibilies for pick the 7 numbers are 26,997,328. What is the forumla to find out the possibilitise?
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The 1st pick is 1 of 42, then 1 of 41, etc
--> 42*41*40... for as many picks, in this case 7
--> 42*41*40*39*38*37*36
But since there's no ordering, that is, picking 10 as the 1st number or the 2nd or 3rd doesn't matter, there are 7*6*5*4*3*2*1 ways to pick and combination.
Tham makes the # of possible combinations 42*41*40*39*38*37*36 / 7*6*5*4*3*2*1
= 26,978,328
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It's 42%21%2F%28%2842-7%29%21%2A7%21%29