(15) Ten people are sitting around a round table. How many different sittings are pos- sible in the following scenarios? (a) One of the chairs is identified as being the head of the table. (b) All chair positions are identical, so sittings are identified only according to the relative positions with each other. (Here it only matters who sits on one's right and who sits on one's left.)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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(c) Orientation does not matter, so two sittings are considered identical if each
person sits beside the same two people in each sitting.
ing
Transcribed Image Text:(c) Orientation does not matter, so two sittings are considered identical if each person sits beside the same two people in each sitting. ing
(15) Ten people are sitting around a round table. How many different sittings are pos-
sible in the following scenarios?
(a) One of the chairs is identified as being the head of the table.
(b) All chair positions are identical, so sittings are identified only according to the
relative positions with each other. (Here it only matters who sits on one's right
and who sits on one's left.)
Transcribed Image Text:(15) Ten people are sitting around a round table. How many different sittings are pos- sible in the following scenarios? (a) One of the chairs is identified as being the head of the table. (b) All chair positions are identical, so sittings are identified only according to the relative positions with each other. (Here it only matters who sits on one's right and who sits on one's left.)
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