3. A group of friends are planning a trip through Alberta. They have created a list of communities that they may be interested in visiting. They want to minimize their travel between areas with possible visits to each of the following communities: Edmonton Area Calgary Area Edmonton Calgary Lethbridge Area Lethbridge Coalhurst St. Albert Cochrane Spruce Grove Cranston Coaldale Stony Plain Chestermere Sherwood Park a) If the group goes to 7 communities in total, how many different schedules can be created if there are no restrictions on which communities they visit in each area?

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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3. A group of friends are planning a trip through Alberta. They have created a list of communities that they may
be interested in visiting. They want to minimize their travel between areas with possible visits to each of the
following communities:
Edmonton Area
Edmonton
Calgary Area
Calgary
Cochrane
Lethbridge Area
Lethbridge
Coalhurst
Coaldale
St. Albert
Spruce Grove
Cranston
Stony Plain
Chestermere
Sherwood Park
a) If the group goes to 7 communities in total, how many different schedules can be created if there are no
restrictions on which communities they visit in each area?
b) If the group must visit all of the communities in the Edmonton Area, 3 in the Calgary area, and 2 in the
Lethbridge area, how many different schedules can be created?
c) If the group decides that Sherwood Park and Coaldale should not be on the schedule due to distance, how
many different schedules can be created if the group visits all of the communities in the Edmonton area, 2 in
the Calgary area, and 2 in the Lethbridge area?!
4. Five couples go to see a movie. They sit together in 10 consecutive seats and couples sit together. How
many seating arrangements are possible?
Transcribed Image Text:3. A group of friends are planning a trip through Alberta. They have created a list of communities that they may be interested in visiting. They want to minimize their travel between areas with possible visits to each of the following communities: Edmonton Area Edmonton Calgary Area Calgary Cochrane Lethbridge Area Lethbridge Coalhurst Coaldale St. Albert Spruce Grove Cranston Stony Plain Chestermere Sherwood Park a) If the group goes to 7 communities in total, how many different schedules can be created if there are no restrictions on which communities they visit in each area? b) If the group must visit all of the communities in the Edmonton Area, 3 in the Calgary area, and 2 in the Lethbridge area, how many different schedules can be created? c) If the group decides that Sherwood Park and Coaldale should not be on the schedule due to distance, how many different schedules can be created if the group visits all of the communities in the Edmonton area, 2 in the Calgary area, and 2 in the Lethbridge area?! 4. Five couples go to see a movie. They sit together in 10 consecutive seats and couples sit together. How many seating arrangements are possible?
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