## Related questions with answers

Question

State if the possible arrangements represent permutations or combinations, then state the number of possible arrangements. Hugo displays his 8 model planes in a single row.

Solutions

VerifiedSolution A

Solution B

Answered 2 years ago

Step 1

1 of 2Since order is not important, so the arrangement represents a compination [4ex]

Number of possible arrangements= [4ex]

$8_{C_{8}}=\dfrac{8!}{8! \times (8-8)!}=1$

Step 1

1 of 2To many people the order (chronological, size, when built, favorite etc.) could be considered important so it would be a permutation.

$\begin{align*} _nP_r &=_8P_8 = \dfrac{n!}{(n-r)! } = \dfrac{8!}{0!} = 8! = 40320 \end{align*}$

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