SOLUTION: 18 Lotto is a gambling game played by choosing 6 numbers from 45. Gamblers try to match their choice with those numbers chosen at the official draw. No number can be drawn more t

Algebra ->  Permutations -> SOLUTION: 18 Lotto is a gambling game played by choosing 6 numbers from 45. Gamblers try to match their choice with those numbers chosen at the official draw. No number can be drawn more t      Log On


   



Question 1046924: 18 Lotto is a gambling game played by choosing 6 numbers from 45. Gamblers try to
match their choice with those numbers chosen at the official draw. No number can be
drawn more than once and the order in which the numbers are selected does not matter.
a How many different selections of 6 numbers can be made from 45?
b Suppose the first numbers drawn at the official draw are 42, 3 and 18. How many
selections of 6 numbers will contain these 3 numbers?
c Suppose the first numbers drawn at the official draw are 42, 3, 18 and 41. How
many selections of 6 numbers will contain these 4 numbers?

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
A. 45 C6=8,145,060.. That is 45!/6!*39!
B. 6C3=20
C. 6C4=15