Question

A minimum of five and a maximum of seven fonts are to be selected for a font collection. They are to be selected from a set of nine fonts. This set includes two bold serif fonts, three bold san-serif fonts, one regular serif font, and three regular san-serif fonts. The fonts are to be selected according to the following conditions:

Exactly two serif fonts must be selected.
A minimum of three and a maximum of four bold fonts must be selected.
If the regular serif font is selected, at least two regular san-serif fonts must be selected.
Either the regular serif font or at least two bold san-serif fonts must be selected.
If all the above conditions are met, which of the following could be used to create the collection?

• A. Exactly three regular san-serif fonts are selected.
• B. Exactly one regular font is selected.
• C. Exactly three bold san-serif fonts are selected.
• D. Exactly five san-serif fonts are selected.

Hint:

When solving combinatorics or selection problems, break down the constraints to ensure each condition is met before selecting the final answer.

Answer 1

The Correct Option is C

Step 1: Analyzing the conditions.
- We need to select exactly two serif fonts.
- We must select a minimum of three and a maximum of four bold fonts.
- If the regular serif font is selected, at least two regular san-serif fonts must be selected.
- At least two bold san-serif fonts must be selected.

Step 2: Checking the options.
- (A) Three regular san-serif fonts could work, but this doesn’t meet the bold font requirements.
- (B) Only one regular font doesn’t meet the requirements of selecting at least two serif fonts.
- (C) Selecting three bold san-serif fonts meets all the conditions, including the minimum bold font requirement and the regular font conditions.
- (D) Five san-serif fonts doesn’t fulfill the requirement for serif fonts.

Step 3: Conclusion.
Option (C) correctly satisfies all the conditions of the problem.