Question

Find the number of ways in which 8 different flowers can be
strung to form a garland so that 4 particular flowers are never separated.

Answer 1

Hi ,

This question related to Permutations and combinations ,

According to the question given ,

4 flowers which are never separated take it as set .

Let 4 flowers in  a set consider as 4 elements.

Now , the flowers  is arranged in a number of ways = 4!

Again , 4 flowers in a set arranged in a  number of ways  = 4! 

Hence ,

Total number of ways = 4! × 4!

we can arrange the flowers in both directions i.e clock and anti- clock wise ,

So, actual number of ways = ( 4! × 4! ) / 2

                                            = ( 4 × 3 × 2 × 4 × 3 × 2 ) / 2

                                            = 4 × 3 × 2 × 4 × 3

                                            = 288

I hope this helps you .

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Answer 2

Step-by-step explanation:

4!4!/2

4*3*2*1*4*3*2*1/2

288