Question:
The number of ways in which $8$ different flowers can be strung to form a garland so that $4$ particular flowers are never separated is
The number of ways in which $8$ different flowers can be strung to form a garland so that $4$ particular flowers are never separated is
Updated On: Jul 7, 2022
- $4 \,! \cdot 4\,!$
- 288
- $\frac {8\,!} {4\,!}$
- $5\, ! \cdot 4 \,!$
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The Correct Option is B
Solution and Explanation
No. of ways $=\frac{1}{2}\left(5-1\right) \,! \times 4\,!=\frac{24\times 24}{2}$
$=288$
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Notes on Permutations
Concepts Used:
Permutations
A permutation is an arrangement of multiple objects in a particular order taken a few or all at a time. The formula for permutation is as follows:
\(^nP_r = \frac{n!}{(n-r)!}\)
nPr = permutation
n = total number of objects
r = number of objects selected
Types of Permutation
- Permutation of n different things where repeating is not allowed
- Permutation of n different things where repeating is allowed
- Permutation of similar kinds or duplicate objects