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
21600
43200
86400
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
$