how many ways can 5 people be seated on a bench?

Question

Question

Answer 1

Answer #1

5 people can be seated on A bench in 5p₅ ways..

5p₅ = 5 ! / ( 5! - 5! )

= 120

In 120 ways 5 people can be seated on a bench.

Answer 2

Similar Homework Help Questions

6 people are to be seated in a row. How many different ways are there to...

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
How many ways can 8 people be seated around a circular table if (a)There are 4...

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?
(1) In how many ways can 7 people A, B, C, D, E, F,G be seated...

(1) In how many ways can 7 people A, B, C, D, E, F,G be seated at a round table such that A and B sit together, but C and D do not sit together.

3). In how many ways can 6 students be seated in a row of 6 chairs...

3). In how many ways can 6 students be seated in a row of 6 chairs if Jack insists on sitting in the first chair? 4). A president, a treasurer, and a secretary are to be chosen from a committee with forty members. In how many ways could the three officers can be chosen? 5). In how many ways can 7 books be chosen from a group of nine? 9). Suppose that a department contain 13 men and 15 women....
1. How many ways can a group of six boys and sik girls be seated in...

1. How many ways can a group of six boys and sik girls be seated in a row of twelve seats if boys and girls must alternate in the row? ways 2. How many ways can 4 different contracts be distributed amongst 15 different firms, if any one firm can be awarded multiple contracts? ays 3. How many four-digit numbers may be formed using elements from the set (1, 2, 3,4, 5,6,7,8,9) if no element may be used more than...
(a) In how many ways can 7 people be lined up to get on a bus?...

(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...

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...
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...
10 people are seated to a 10 people spot in a row in the movies (a)...

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...

Please answer the following question: a) In how many ways can a committee of 3 people...

Please answer the following question: a) In how many ways can a committee of 3 people be selected from a group of 10 people? b) In how many ways (different arrangements) can 8 books be placed on a shelf? c) On an ice cream menu, there are 5 choices of ice cream flavors, 4 choices of toppings and 2 choices of syrups. In how many different ways can the ice cream be ordered, if each order must include one ice...