Subject: General Aptitude · Chapter: Permutations and Combinations · Exam: 2016 · Marks: · Difficulty:
In how many different ways can the letters of the word ‘TRANSPIRATION’ be arranged so that the vowels always come together?
(a)2429500
(b)1360800
(c)1627800
(d)None of these
Answer
Answer (as printed): B
Explanation
The word TRANSPIRATION has 13 letters in which each of T, R, A, N and I has come two time We have to arrange TT RR NN PS (AA II O). There are five vowels in the given words. ∴ we consider these give vowels as one letter. ∴ Required number of arrangements. 9! × 5! = 2!2!2!2!2! 9×8×7 ×6× 5× 4× 3× 2× 5× 4× 3× 2 = 2×2×2×2×2 = 1360800
Explanation as extracted from the printed page; notation may be imperfect.