Two digit number are formed from the digits 0, 1, 2, 3, 4 where digits are not repeated. A is the event that the number formed is even. Write S, A , n(S) and n(A).

Solution:

Since two digit numbers are formed from the digits 0, 1, 2, 3, 4 where digits are not repeated.

∴ Sample Space S = {10, 12, 13, 14, 20, 21, 23, 24, 30, 31, 32, 34, 40, 41, 42, 43}

∴ n(S) = 16

Let A = Event that the number formed is even number.

∴ A = {10, 12, 14, 20, 24, 30, 32, 34, 40, 42}

∴ n(A) = 10