Form two digit number using the digits 0, 1, 2, 3 without repeating the digits. Write sample space ‘S’, n(S), event P and n(P) where P is the event that the number so formed is divisible by 3.

Sample Space = { 10, 12, 13, 20, 21, 23, 30, 31, 32}

∴ n(S) = 9

P = Event that the number so formed is divisible by 3.

∴ P = {12, 21, 30}

∴ n(P) = 3