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 20There are 3 flowers of first kind and 3 flowers of second kind as well, but the garland is of circular shapeRefer image.a+b+c=3We 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+x−1Cx−1 ways n=3 x=3 substituting the value (3+3)−1C3−1= 5C2(3−1)!Since there are three flowers we can arrange it as =5×41×2×2(3−1)!ways=20(In circular object we can an average as similar objects in (n-1)!ways)B=20

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