Question

There are 7 people on a committee, and Jose is one of these six people. Three are to be picked and assigned to tasks: one person is in charge of finance, one is in charge of recruitment, and one is in charge of team spirit. Jose doesn't care whether he gets a job or not, except that he loathes the idea of being in charge of team spirit. Suppose the selection is done at random. A, in how many ways can the selection be made? B, How many of the selections include Jose as the leader of team spirit? C, What is the probability that Jose gets put in charge of team spirit?

Answer 1

There are 7 people on the committee which includes Jose and 6 other people.

A)

Since 3 people are to selected, so total number of ways in which selection can be done is:

B)

If Jose is selected as leader of team spirit, then the remaining 2 positions need to be filled by the 6 remaining people.

This can be done in :

C)

Required probability = P(Jose is selected as in charge of team spirit)

= Number of ways in which this can be done / Total number of ways in which the selection can be made

=