Question

The statement "Any activity that is undertaken by a committee" is refutable by a counterexample. Which of the following could serve as a counterexample to the statement?

a) Forming a committee to plan a company picnic.
b) A committee reviewing and approving budget proposals.
c) A single individual working on a project without involving a committee.
d) A committee deciding on the agenda for an upcoming meeting.

Answer 1

The correct counterexample to the statement that any activity is undertaken by a committee is c) A single individual working on a project without involving a committee. This provides a clear instance of an activity that does not involve a committee.

Step-by-step explanation:

The statement "Any activity that is undertaken by a committee" is quite broad and seems to imply that committees are involved in every type of activity. To refute this statement, one would need to provide a counterexample where an activity is clearly not undertaken by a committee. Looking at the options provided:

Forming a committee to plan a company picnic.

A committee reviewing and approving budget proposals.

A single individual working on a project without involving a committee.

A committee deciding on the agenda for an upcoming meeting.

The first, second, and fourth options all involve committees directly, which would not serve as a counterexample. Therefore, the answer is c) A single individual working on a project without involving a committee. This scenario illustrates an activity that is done without the presence or oversight of a committee, thereby refuting the original statement.