SOLUTION: Calculate the number of ways 6 numbers can be chosen from a list of 54. The order is not important. If this were a lottery, then 1 over this number represents the probability of

Algebra ->  Probability-and-statistics -> SOLUTION: Calculate the number of ways 6 numbers can be chosen from a list of 54. The order is not important. If this were a lottery, then 1 over this number represents the probability of       Log On


   

Question 333201: Calculate the number of ways 6 numbers can be chosen from a list of 54. The order is not important. If this were a lottery, then 1 over this number represents the probability of winning.
I cant figure out this problem help would be greatly appreciated. Thank you.
Found 2 solutions by stanbon, solver91311:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Calculate the number of ways 6 numbers can be chosen from a list of 54. The order is not important. If this were a lottery, then 1 over this number represents the probability of winning.
I cant figure out this problem help would be greatly appreciated. Thank you
===================
Groups of objects are called combinations.
Your Answer:
54C6 = 54!/[(54-6)!*6!] = [54*53*52*51*50*49)/(1*2*3*4*5*6) = 25,827,165
==========
Probability of winning the lottery = 1/[54C6]
==========
Cheers,
Stan H.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


You need 54 choose 6, that is:

Where is the number of combinations of things taken at a time and is calculated by

So you need to calculate:

You can do the rest of the arithmetic.

John

My calculator said it, I believe it, that settles it