Question

1. The company has agreed on an 8 character password format, comprised of upper case letters , lower case letters, and digits (0-9). Find the number of passwords possible where the first two characters have to be upper case letters, the next 5 can be lower case letters or digits , and the last character has to be an upper case letter. Here are the restrictions:

a. Repetitions are allowed

b. Repetitions are not allowed

2. 30 people were asked what department stores they shop in. 11 shop at Macy’s (M), 8 shop at Kohl’s (K), 7 shop at Penney’s (P). 5 shop at Penney’s and Macy’s. 4 shop at Kohl’s and Macy’s. 3 shop at Kohl’s and Penney’s. 2 shop at all three of the department stores.

a. Create a Venn diagram with 8 disjoint regions. Put the data in the correct region.

b. How many respondents do not shop at any of these 3 stores?

c. How many shop at only one of the 3 stores?

Answer 1