How many ways can 8 people be seated around a circular table if (a)There are 4 men and 4 women, and no 2 men or 2 women can sit next to one another? (b)There are 5 men and they must sit next to each other? (c)There are 4 married couples and each couple must sit together?
10 people are seated to a 10 people spot in a row in the movies (a) How many different ways can they sit? (b) Suppose the 10 are five married couples who all want to sit with their spouses. How many ways can they sit? e) Suppose that Adam (one of the husbands) and Suzie (ane of the wives, not married to Adam) cannot stand each other. How many different sittings are there possible? (Each will still sit with their...
how many ways can 5 people be seated on a bench?
Six people A, B, C, D, E, and F, have decided to go to the movies. The night before, E and F had an argument about statistics and cannot sit next to one another. How many different ways can A, B, C, D, E, and F sit in a row such that E and F DO NOT sit next to each other?”
6 people are to be seated in a row. How many different ways are there to arrange the people in the rows if Emily must be seated on one of the ends
All parts please and explain 2. (a) In how many ways can 4 boys and 4 girls sit in a row? (b) In how many ways can 4 boys and 4 girls sit in a row if the boys and the girls are each to sit together? (c) In how many ways if only the boys must sit together? (d) In how many ways if no two people of the same gender are allowed to sit together?
In how many ways can three couples be seated in a row so that each couple sits together (namely next to each other) in a circle ? Hint : 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 mark is between two different couples, denoting the mark...
(a) In how many ways can 7 people be lined up to get on a bus? (b) If 5 specific persons, among 7, insist on following each other, how many ways are possible? (c) If 2 specific persons, among 7, refuse to follow each other, how many ways are possible? (a) The 7 different people can be lined up in 5040 different ways. (b) The people can be lined up in different ways. (c) The people can be lined up...
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...
A row has 12 chairs. Seven people arrive and they have to choose 7 chairs to sit. In how many ways can these people be seated? a. 792 b. 3,991,680 Oc, 84 d.5040 e. 479,001,600 A company has 9 engineers. The company has a major project that has been divided into 3 subprojects. Three engineers are assigned to each subproject. In how many ways can this be done? Oa. 243 b. 1680 C.13440 o d. 648 e. 1120