The number of different ways of preparing a garland using 6 distinct white roses and 5 distinct red roses…

The number of different ways of preparing a garland using 6 distinct white roses and 5 distinct red roses such that no two red roses come together is
  1. 21600
  2. 43200
  3. 86400
  4. 151200

Solution

Given, White roses $=6$ Red roses $=5$ $\therefore \quad$ Total number of ways for making garlands such that no two red roses come together is $ =\frac{6 ! \times 5 !}{2}=43200 $

Asked in: AP EAMCET 2017 (26 Apr Shift 1)

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