SOLUTION: Can you please explain to me how exactly you got the answer? 1.) In the 6/53 lottery game, a player picks six numbers from 1 to 53. How many different choices does the player ha

Algebra ->  Permutations -> SOLUTION: Can you please explain to me how exactly you got the answer? 1.) In the 6/53 lottery game, a player picks six numbers from 1 to 53. How many different choices does the player ha      Log On


   

Question 356979: Can you please explain to me how exactly you got the answer?
1.) In the 6/53 lottery game, a player picks six numbers from 1 to 53. How many different choices does the player have if repetition is not allowed?
Note that the order of the numbers is not important.
2.) 4 dice of different colors are rolled, and the number coming up on each die is recorded. How many different outcomes are possible?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
i) The answer is given by C%2853%2C+6%29 = 22,957,480 possibilities. C(n, r) is the total number of ways we can get r objects from n objects, where r is less than or equal to n.
ii) Under the assumption that all dice have 6 faces, the number of possibilities is 6%2A6%2A6%2A6+=+6%5E4+=+1296.