Charlotte and Amelia were arranging chairs at a community hall. Charlotte arranged 9 chairs at a time whereas Amelia arranged 12 chairs at a time. If they ended up arranging the same number of chairs, what is the minimum number of chairs that each one could have arranged?
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14
There are 8 chair on each side of the table.
Let the sides be represented by A and B.
Let four persons sit on side A, then number of ways of arranging 4 persons on 8 chairs on side A=
8
P
4
And two persons sit on side B.
The number of ways of arranging 2 persons on 8 chairs on side B=
8
P
2
The remaining 10 persons can be arranged in remaining 10 chairs in 10! ways.
Hence, the total number of ways in which the persons can be arranged is
8
P
4
×
8
P
2
×10!=
4!6!
8!8!10!
PLS BRAINLIEST AND 1 THANKS FOR SMALL ACCOUNT PLS HELP
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2
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