How many different 15 persons committees can be formed each containing at least 2 Accountants and at least 3 Managers from a set of 10 Accountants and 12 Managers.

At least two empty box

No empty box.

What is counterexample? Explain the use of counterexample with the help of an example.

If p and q are statements, show whether the statement [(~p→q) Ù (q)] → (p Ú ~q) is a tautology or not.

Find how many 4 digit numbers are even? How many 4 digit numbers are composed of odd digits.

What is Boolean algebra? Explain how Boolean algebra methods are used in logic circuit design.