$10$ students from 2T39 and 2T40 are to be seated in a round table of $10$ during Graduation Nig

Question

$10$ students from 2T39 and 2T40 are to be seated in a round table of $10$ during Graduation Night this year. The number of boys and girls who are attending Graduation Night from these two classes are shown below. Boys Girls 2T39 $4$ $2$ 2T40 $1$ $3$ Find the number of ways the students can be seated if there are no restrictions. [1] the boys and girls must alternate. [2] The $10$ seats are now numbered. Find the number of ways these students can be seated if students from the same class must sit together.[2] The boy from 2T40 is absent. Find the number of ways the remaining students can be seated in the $10$ seats if students from the same class must sit together.[2]

Accepted Answer

(i) $362880$ (ii) $2880$ (iii) $172800$ (iv) $86400$

	Boys	Girls
2T39	\(4\)	\(2\)
2T40	\(1\)	\(3\)

2013 CJC P2 Q7

2013 CJC P2 Q7

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