Test question

Question

 to win the lottery in a certain state you must correctly select seven distinct numbers from my collection of 41 numbers. You win if your numbers match the winning numbers in any order. What is the probability of winning the lottery? 

Answer 1

There are 41 possibilities for the first number, 40 possibilities for the second number, 39 possibilities for the third number, 38 possibilities for the fourth number, 37 possibilities for the fifth number, 36 possibilities for the sixth number, and 35 possibilities for the seventh number.  So the probability is

 

1 in 41x40x39x38x37x36x35