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TS EAMCET · Maths · Permutation Combination

There are 10 red and 5 yellow roses of different sizes. If x is the number of garlands that can be formed with all these flowers so that no two yellow roses come together and y is the number of garlands formed with all these flowers so that all the red roses coming together, then 2x-y10!=

  1. A 9!5!-5!
  2. B 112·4!
  3. C 10!-6!
  4. D 6!×5!-2
Verified Solution

Answer & Solution

Correct Answer

(A) 9!5!-5!

Step-by-step Solution

Detailed explanation

Given that 10 Red roses & 5 Yellow roses. x is number of garlands that can be formed with all these flowers so that no two yellow roses come together. i.e., first arranging 10 Red roses in 9!2 then in that 10 gaps we can arrange these 5 yellow roses in…