Concept:Combination formula is given by nCk , when n < k combination formulaWhere n = distinct object to choose from, C = Combination, k = spaces to fill Calculation:The word 'TIGER' contains 2 vowels I and E and 3 consonants T, G, R.If the vowels should not occupy the even position means even places should be occupied by the consonants only. To fill the even places by the consonants, select any 2 consonants out of 3 and arrange them.Selection of any 2 consonants out of 3 = 3C2The arrangement of these two consonants is given by 2!Number of ways to fill even places = 3C2 × 2! = 6 Now, fill the 3 odd places with the rest of the consonants and vowels.Number of ways to fill odd places = 3! = 6The total number of ways = 3C2 × 2! × 3! = 6 × 6 = 36? The required number of permutations = 36.