It how many way we can arrange 3 red flower, 5 yellow flower and 7 white flower in a row ? in how many arrangement number of 2 yellow flower are adjacent to each other
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Total we have 12 flowers 3 red, 4 yellow and 5 white.
Number of arranqernents=
3!4!5!
12!
=27720.
For the second part, first arrange 3 red & 4 yellow
This can be done in
3!4!
7!
=35 ways
Now select 5 places from among 8 places (including extremes) & put the white flowers there. This can be done in
8
C
5
=56.
∴ The number of ways for the 2
nd
part=35×56=1960.
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