How do you determine the sample space for the experiment where two county supervisors are selected from five supervisors, A, B, C, D, E to study a recycling plan?

Name: How do you determine the sample space for the experiment where two county supervisors are selected from five supervisors, A, B, C, D, E to study a recycling plan?
Uploaded: 2022-02-23T17:22:57+00:00
Description: How do you determine the sample space for the experiment where two county supervisors are selected from five supervisors, A, B, C, D, E to study a recycling plan?

Question

Jasper Parsons · Accepted Answer

Step 1Since only two county supervisors are selected from the list of five supervisors, the formula would be;                    !            n              P      r      Where      n    =          no of supervisors            r    =          taken supervisor            r    =          taken supervisor            n    =    5        r    =    2  Step 2                    !            n              P      r        =                  n        !                    n        -        r              !        ⇒                  5        !                    5        -        2              !        ⇒                  5        !                    3        !                  ⇒                  5        ×        4        ×        3        ×        2        ×        1                    3        ×        2        ×        1                  ⇒                  5        ×        4        ×                              3            ×            2            ×            1                                                3          ×          2          ×          1                          ⇒          (      5      ×      4      )            ⇒    20    w    a    y    s  Hence the sample of space would be In 20ways.