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Question

The number of different garlands, that can be formed using 3 flowers of first kind and 3 flowers of second kind, is

A
60
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B
20
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C
4
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D
3
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Solution

The correct option is B 20
There are 3 flowers of first kind and 3 flowers of second kind as well, but the garland is of circular shape
Refer image.
a+b+c=3
We know there are 3 different flowers and we have to average them between 3 people (lay a,b,b).
So we are average it as n+x1Cx1 ways
n=3 x=3 substituting the value
(3+3)1C31= 5C2(31)!
Since there are three flowers we can arrange it as =5×41×2×2
(31)!ways=20
(In circular object we can an average as similar objects in (n-1)!ways)
B=20

1197702_1223729_ans_cbe753e20d5244aabc7875328c6990c3.png

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