You and your mom are entering a drawing with three different prizes. The prizes are awarded at random. If a total of 8 people enter the drawing in how many ways can you win first prize and your mom win second

The number of ways can you win first prize and your mom win second is 1/56 ways.

Step-by-step 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

The answer is 6.