Answer:
The number of ways can you win first prize and your mom win second is 1/56 ways.
Explanation:
Total number of people entered the contest= 8 people
Total number of prices awarded=3 prizes
Therefore the total number of ways in which 3 prizes can be awarded = 8*7*6 = 336 ways
The number of ways in which you can win first prize and your monm can win the second prize is =1*1*6 = 6 ways
So,by probability to find the ways with which you can win the first prize and mom can win the second prize can be calculated as = 6/336 = 1/56