Letters of 'CORPORATION' arranged so vowels stay together. Number of ways:

1. CORPORATION = 11 letters with vowels O, O, A, I, O (5 vowels, three O's repeating) and consonants C, R, P, R, T, N (6 letters with two R's). 2. Treat vowels as one block: 7 objects to arrange = 7!/(2!) for the two R's = 7!/2 = 2520. 3. Internal vowel arrangement = 5!/3! = 20. Total = 2520 × 20 = 50400. _Source: KMAT Karnataka 2023 PYQ Q.42_