The tires can be arranged in 24 ways. Computed using permutation.
The permutation is a way of selecting a smaller set from a larger set when the order of selection is not of concern.
For selecting r number of items, from n number of items, with the order of selection not being a concern, we can calculate the number of ways using permutation:
nPr = n!/(n - r)!.
In the question, we are asked the number of ways in which the four tires can be arranged on a car.
As we need to select 4 tires, from 4 tires, with any order, we will use permutation.
Thus, the number of ways can be calculated as 4P4, which can be calculated using the formula, nPr = n!/(n - r)!.
Thus, 4P4 = 4!/(4 - 4)! = 4!/0! = 24/1 = 24.
Thus, the tires can be arranged in 24 ways. Computed using permutation.
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