A rapidly growing city is dedicated to neighborhood integrity. However, increasing traffic and speed on a through street are of concern to residents. The city manager has proposed five independent trafficcalming options:

1. Stop sign at corner A

2. Stop sign at corner B

3. Low-profile speed bump at point C

4. Low-profile speed bump at point D

5. Speed dip at point E

There cannot be any of the following combinations in the final projects:

—No combination of dip and one or two bumps

—Not two bumps

—Not two stop signs

(a) If there were no restrictions on how the options can be combined, calculate how many alternatives there are to evaluate.

(b) Using the restrictions, identify the number of and list of acceptable alternatives.