# An office building contains 29 floors with 39 office on

August 30, 2017

Question
1. An office building contains 29 floors with 39 office on each floor. How many office are in the building?

2. How many integers between 10 and 99 inclusive have distinct digits?

3. How many integers beteen 1000 and 9999 inclusive have distinct digits?

4. How many integers beteen 1000 and 9999 inclusive have distinct digits and are even?

5. A password has to contain between 8 and 20 characters that are either letters or numbers and must contain at least one upper case letter and one number. How many possible password are there?

6. Refer to the link: www.incredibox.com.

Refer also to Version 4 (the one to the far right).

(a) How many different songs are there with 7 choices (assuming we make at least one selection)?

(b) How many different songs are there with 7 choices if we require at least one selection from each category?

(c) How many different songs are there with 1,2,3,4,5,6 or 7 choices?

7. How many ways “words” can be made with the letters “A,B,B,R,A,C,A,D,A,B,R,A”?

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