The number of ways of arranging 2 red. 3 white and 5 yellow roses of different sizes into a garland such that no two yellow roses come together is

Step-by-step solution

Given 2 Red, 3 White and 5 Yellow roses. Total =10 roses Number of ways of arranging 2 Red and 3 White roses =(5-1)!=4! So, required number of ways = 4! 5! 2 = 24 120 2 =1440 .