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In how many different ways can Alice, Bob, Carol, Darla and Evan all.pdf

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In how many different ways can Alice, Bob, Carol, Darla and Evan all sit around a table? (If it helps you, an arrangement can be specified by starting at Alice and going clockwise around the table). Solution Given that Alice, Bob, Carol, Darla and Evan all sit around a table. We will fix Alice to a position and we can arrange the remaining 4 in 4! Ways=4×3×2×1=24 ways So the number of ways in which the 5 members can be arranged around a table is 24 ways. If it is said that there shouldn\'t be common neighbors then it will be 4!/2=24/2=12 ways.

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In how many different ways can Alice, Bob, Carol, Darla and Evan all sit around a table? (If it helps you, an arrangement can be specified by starting at Alice and going clockwise around the table). Solution Given that Alice, Bob, Carol, Darla and Evan all sit around a table. We will fix Alice to a position and we can arrange the remaining 4 in 4! Ways=4×3×2×1=24 ways So the number of ways in which the 5 members can be arranged around a table is 24 ways. If it is said that there shouldn't be common neighbors then it will be 4!/2=24/2=12 ways

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In how many different ways can Alice, Bob, Carol, Darla and Evan all.pdf

  • 1. In how many different ways can Alice, Bob, Carol, Darla and Evan all sit around a table? (If it helps you, an arrangement can be specified by starting at Alice and going clockwise around the table). Solution Given that Alice, Bob, Carol, Darla and Evan all sit around a table. We will fix Alice to a position and we can arrange the remaining 4 in 4! Ways=4×3×2×1=24 ways So the number of ways in which the 5 members can be arranged around a table is 24 ways. If it is said that there shouldn't be common neighbors then it will be 4!/2=24/2=12 ways