Prove that the product of two even numbers is an even number.

Prove that the sum of two odd numbers is even.

Three different numbers are selected at random from the set A = (1, 2, 3,...., 10). The probability that the product of two of the numbers is equal to the third is

The mean of first four even numbers is 5

Every man who has lived on earth has made a certain number of handshakes. Prove that the number of men who have made an odd number of handshakes is even.

A number is selected from numbers 1, 2, 3, 4 and another number is selected from numbers 1, 5, 6, 12. Find the probability that the product of two numbers selected is less than 12.

Which of the following sentences are statements? Give reasons for your answer The square of a number is an even number.

Which of the following sentences are statements? Give reasons for your answer: The square of a number is an even number.

Which of the following arguments are correct and which are not correct? Give reasons. i) If two coins are tossed simultaneously there are three possible outcomes - two heads, two tails or one of each. Therefore, for each of these outcomes, the probability is 1/3 ii)If a die is thrown, there are two possible outcomes - an odd number or an even number. Therefore, the probability of getting an odd number is 1/2

3 integers are selected from the numbers 1 to 20. Then ........ is the probability that their product is an even number.

State whether the following statements are true or false. Give reasons for your answers. The sum of two even number is even .