Prove the following: If m is an even number and n is an odd number, then n 2m is odd. Hint: start with the definition of an even number and the definition of an odd number.

The set, S consists of 900,000000 whole numbers, each being the same number of digits long. How many digits long is a number from S? (Hint: use the fact that a whole number cannot start with the digit 0.)

Use Pascal’s Triangle to expand (2x1)6.