Number of letters in the word 'POTICA' = 6 Number of vowels = 3 i.e. (A, I, O) when vowel occupy add position i.e. 1st, 3rd and 5th remaining letters of the word (C, P, T) occupy even position i.e. 2nd, 4th and 6th. ∴ Total number of arrangement = 3! × 3! = 6 × 6 = 36