The 24 arrangements could be made if the position of the last boy remains unchanged.
Arrangement
Arrangement is a plans or preparations for a future event.
How to solve this problem?
The steps are as follow:
- Given, Five students are lined up in a row
- We have make the arrangment such that last boy should remain unchanged
- To find how many arrangements are possible in a set of objects, use the formula below, where x is the number of objects.
x! , where,! is factorial
x! is equal to x*(x-1)*(x-2)*(x-3)*…(x-(x-1))
- In this case we have to take x equal to 4 because last boy to remain unchanged
∴ 4*3*2*1 = 24 arrangments
Therefore total 24 arrangements could be made if the position of the last boy remains unchanged.
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