Question

Name: Assignment 4 Please show all of your work and not only the answer 1. [5 points in the Cash Now lottery game there are 10 finalist who submitted entry tickets, three grand prize winners will be drawn. The first prize is $1 million, the second prize of $100,000, and the third prize is $10,000. Determine the total number of different ways in which the winners can be drawn. Assume that the tickets are not replaces after they are drawn) 2. (5 points) During the Computer Daze special promotion, a customer purchasing a computer and printer is given a choice of 3 free software packages. There are 10 different software packages from which to select. How many different groups of software packages can be selected?

Answer 1

1)

As here order is important

That is first second and third

We need to use permutations

Npr = n!/(n-r)!

Here n = 10

R = 3

Answer is (10!)/(10-3)! = 10!/7! = 720

2)

Here order is not important so we need to use combinations formula

Ncr = n!/(r!*(n-r)!)

Where n! = n*n-1*n-2*n-3*n-4*n-5*....till 1

For example

5! = 5*4! = 5*4*3! = 5*4*3*2! = 5*4*3*2*1

N = 10

R = 3

10!/(3!*7)! = 120