Probability of winning in the lottery In the lottery there are 5 numbers rolled from 35 numbers and for 3 right quessed numbers there is a third price.
What's the propability that we will win the third price if we buy one ticket with 5 numbers. 

Choose 5 from 35 in $\binom{35}{5}$ and from 5 numbers to get 3 exists $\binom{5}{3}=10$ possibilities and 2 other numbers you choose from 30 others thats not are in your ticket in $\binom{30}{2}=435 $ ways so total ways to win third place is $10\times435=4350$ ways. 
