4. State and multi-state lotteries are common in the U.S. To win a typical lottery, you must match 6 numbers between 1 and 40. How many different combinations are possible? What does that say about the chances of winning the lottery?

Question

4.	State and multi-state lotteries are common in the U.S. To win a typical lottery, you must match 6 numbers between 1 and 40. How many different combinations are possible? What does that say about the chances of winning the lottery?

anonymous · Answer

combinations are 1/(40^6)

cwrw238 · Answer

this is 40C6 =  40x39x38x37x36x35         10x6x7x13x19x37 =   3838380
                         ------------------   = 
                              6x5x4x3x2x1

cwrw238 · Answer

so chances of getting winning combination is 1 in 3,838,380