Arrange People


Exercises for students
Solve the following problems on paper and check your working using the above applet:

Arrange 10 people in a row
(a) with no restriction
(b) so that the oldest person is on the left
(b) so that the oldest person is on the left and the youngest person is on the right
(d) so that the 2 oldest people are together

Arrange Anne, Bert, Cindy, David, Eve & Fred in a row
(a) with no restriction
(b) so that Anne is on the left
(b) so that Anne & Bert are together
(d) so that Anne & Bert are separate

The seats at a round table are numbered from 1 to 7.
Find the number of ways in which 7 out of 10 people can be seated at the table.

A team of 5 people is to be chosen from a list of 12 candidates.
Find in how many ways this can be done if the team consists of 5 people in a definite order.