The different ways 8 persons can be arranged in a line is mathematically given as
x=40,320 Option C
A set may have its elements rearranged into a sequence or linear order, which is referred to as a permutation, or the elements of the set can be rearranged in a different order, which is also referred to as a permutation. The act or process of altering the linear order of the elements of an ordered set is another definition of the term "permutation."
Generally, the equation for the different ways 8 persons can be arranged in a line is mathematically given as
x=8!
Therefore
x=8*7*6*5*4*3*2*1
x=40,320
In conclusion,
x=40,320 Option C
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