The problem can be solved using permutation and combination. If items have to be picked first and then arranged, the number of ways this can be done is equal to the number product of the number of ways in which selections can be made and the number of ways in which the selections can be ordered.
There are four (4) positions. So, 4 people will first need to be picked from 8. The number of ways in which these 4 people can be picked is [tex]^{8} C_{4}=70[/tex]
Now, once the 4 people have been selected, they have to be assigned 1 of the 4 available positions. Four positions can be given to 4 members in
4!= 24 ways.
So, the total number of ways in which selections can be made is 70∗24=1,680.
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