Ten members of a wedding party are lining up in a row for a photograph. (a)...
Ten members of a wedding party are lining up in a row for a photograph. (a) How many ways are there for the wedding party to line up in which the bride is not next to the groom? (b) How many ways are there for the wedding party to line up if the groom is not in the leftmost position? (c) How many ways are there for the wedding party to line up if the groom is not at one end (i.e. in the leftmost or rightmost positions)?
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Ten members of a wedding party are lining up in a row for a
photograph. (a)...
Ten members of a wedding party are lining up in a row for a photograph. (a)...
Ten members of a wedding party are lining up in a row for a photograph. (a) How many ways are there for the wedding party to line up in which the bride is not next to the groom? (b) How many ways are there for the wedding party to line up if the groom is not in the leftmost position? (c) How many ways are there for the wedding party to line up if the groom is not at one...
There are 10 people in a wedding party, in addition to the bride and groom. Photographer...
There are 10 people in a wedding party, in addition to the bride and groom. Photographer lines these 12 people for a memorable photo. In how many different ways photographer can do that, so that bride and groom are next to each other? Explain your solution (but you can leave the answer as a formula).
15to25 15.How many ways are there to seat ten people around a circular table where two seatings are considered the s...
15to25
15.How many ways are there to seat ten people around a circular table where two seatings are considered the same when every one has the same immediate left and immediate right neighbor? 16.In how many ways can a photographer at a wedding arrange six people in a row, including the bride and groom, if a) the bride must be next to the groom? b) the bride is not next to the groom? 17.How many bit strings of length seven...
Wedding cost estimation: Given the following information, Calculate Bottom-up estimate. Note that members of the bridal...
Wedding cost estimation: Given the following information, Calculate Bottom-up estimate. Note that members of the bridal party are already counted as guests, you don’t need to add them twice. Calculate Bottom-up estimate: Wedding Cost Estimates Item Dollars Groom’s brother’s wedding, last year, 175 guests, similar venue and style $20,300 Catering $65 per person Photographer $1,500 Rental of hall $500 Clothing, bride $2,000 Clothing, groom $750 Flowers $800 Other décor items $500 Cake $500 Gifts for bridal party $80 each Wedding...
3 men and 5 women (each of the 8 being different from all the rest) are lined up for a photograph. Also in the line are...
3 men and 5 women (each of the 8 being different from all the rest) are lined up for a photograph. Also in the line are 3 identical armadillos (as you may know, armadillos are born in litters in which each infant armadillo has identical DNA). These 3 armadillos are completely indistinguishable from each other (a) How many ways can the 8 humans and 3 armadillos be lined up for the photo? (b) How many ways can they all line...
1) (5pts) Three married couples have purchased theater tickets and are seated in a row consisting...
1) (5pts) Three married couples have purchased theater tickets and are seated in a row consisting of just six seats. a) How many different seating arrangements are possible? TOTAL: b) How many difet seating arangements ave thethrce men (in any order) in the three leftmost seats? TOTAL: c) Assume the theater-goers take their seats in a completely random fashion. Then each of the seating arrangements in part a) are equally likely. Find the probability that the three men end up...
10. There are thirty people: ten speak only English, ten speak only Spanish, and ten speak...
10. There are thirty people: ten speak only English, ten speak only Spanish, and ten speak only French. There are five chairs in row. How many ways can we put five people in the chairs such that no two people sitting next to eachother speak the same language. Count a 'way' as being one arrangement of English, Spanish, and French speakers, so for example (S, E, S, E, Sy counts as one way Hints (a) You get the same answer...
Problem 2 a) In how many ways can 6 women and 5 men line up so...
Problem 2 a) In how many ways can 6 women and 5 men line up so that no two men are next to one another? b) In how many ways can 7 different pairs of twins line up so that twins must be next to one another? c) In how many ways can 7 women and 10 men sit at a circular table so that no two women are sitting side by side? d) How many strings of length 5...
Thirteen people on a softball team show up for a game. (a) How many ways are...
Thirteen people on a softball team show up for a game. (a) How many ways are there to choose 10 players to be in the game? (b) How many ways are there to assign 10 people out of the 13 to the various positions on the field? (c) Of the 13 people, three are college students. How many ways are there to choose 10 players to take the field if at least one of these players must be a college...
In how many ways can three couples be seated in a row so that each couple...
In how many ways can three couples be seated in a row so that each couple sits stogether (namely next to each other): • in a row, 48 48 • in a circle? ? Hint (1 of 1): As in the general comment, recall that rotations matter. It may be useful to imagine a round table with 6 chairs, and a single mark on the table, between two specific chairs. Observe that for some configurations of the 6 people, the...
There are 10 people in a wedding party, in addition to the bride and groom. Photographer lines these 12 people for a memorable photo. In how many different ways photographer can do that, so that bride and groom are next to each other? Explain your solution (but you can leave the answer as a formula).
15to25
15.How many ways are there to seat ten people around a circular table where two seatings are considered the same when every one has the same immediate left and immediate right neighbor? 16.In how many ways can a photographer at a wedding arrange six people in a row, including the bride and groom, if a) the bride must be next to the groom? b) the bride is not next to the groom? 17.How many bit strings of length seven...
3 men and 5 women (each of the 8 being different from all the rest) are lined up for a photograph. Also in the line are 3 identical armadillos (as you may know, armadillos are born in litters in which each infant armadillo has identical DNA). These 3 armadillos are completely indistinguishable from each other (a) How many ways can the 8 humans and 3 armadillos be lined up for the photo? (b) How many ways can they all line...
1) (5pts) Three married couples have purchased theater tickets and are seated in a row consisting of just six seats. a) How many different seating arrangements are possible? TOTAL: b) How many difet seating arangements ave thethrce men (in any order) in the three leftmost seats? TOTAL: c) Assume the theater-goers take their seats in a completely random fashion. Then each of the seating arrangements in part a) are equally likely. Find the probability that the three men end up...
10. There are thirty people: ten speak only English, ten speak only Spanish, and ten speak only French. There are five chairs in row. How many ways can we put five people in the chairs such that no two people sitting next to eachother speak the same language. Count a 'way' as being one arrangement of English, Spanish, and French speakers, so for example (S, E, S, E, Sy counts as one way Hints (a) You get the same answer...
Thirteen people on a softball team show up for a game. (a) How many ways are there to choose 10 players to be in the game? (b) How many ways are there to assign 10 people out of the 13 to the various positions on the field? (c) Of the 13 people, three are college students. How many ways are there to choose 10 players to take the field if at least one of these players must be a college...
In how many ways can three couples be seated in a row so that each couple sits stogether (namely next to each other): • in a row, 48 48 • in a circle? ? Hint (1 of 1): As in the general comment, recall that rotations matter. It may be useful to imagine a round table with 6 chairs, and a single mark on the table, between two specific chairs. Observe that for some configurations of the 6 people, the...
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