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The Caldwell Community College Big Lottery Game requires the selection of six different numbers from the set 1,2,3,4,….45.
a. How many different selections are possible?
Ans: 45C6 = 45!/[39!*6!] = 8,145,060
b. What is the probability of buying a single ticket and winning this lottery?
Ans: 1/8145060 = 0.00000012277...