Question

No of garlands can be prepared from 5 different flowers .

Answer 1

Answer:

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

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ANSWER

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+x−1

C

x−1

ways

n=3 x=3 substituting the value

(3+3)−1

C

3−1

=

5

C

2

(3−1)!

Since there are three flowers we can arrange it as =

1×2

5×4

×2

(3−1)!ways=20

(In circular object we can an average as similar objects in (n-1)!ways)

B=20