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Grade 8 Data Analysis & Probability
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Probability -Permutations & Combinations
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Question: In how many ways can 7 people sit in 7 chairs?
A ) 5041
B ) 720
C ) 5040
D ) 40320
Steps to derive
1
Number of ways in which 7 people can sit in 7 chairs =
7
P
7
2
= 7! = 7 ×6 ×5 ×4 ×3 ×2 ×1 = 5040
[Simplify.]
3
7 people can sit in 7 chairs in 5040 ways.
Hence the right answer is Option C
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