Answer :
The number of total selections that can be made is 1184040 i.e., option e is correct.
The number of different combinations of x objects from a set of n elements is given by the formula mentioned below:
[tex]C_{n,x}[/tex] = [tex]\frac{n!}{x!(n-x)!}[/tex]
This formula is used when the order in which the elements are chosen does not matter.
As per the question we know that seven tablets are chosen from a set of 28 tablets, hence the number of selections that can be made is given by:
[tex]C_{28,7}[/tex] = [tex]\frac{28!}{7!(28-7)!}[/tex]
[tex]C_{28,7}[/tex] = ( 28 × 27 ×26 × 25 × 24 × 23 × 22 × 21! ) / ( 7! × 21!)
[tex]C_{28,7}[/tex] = ( 28 × 27 ×26 × 25 × 24 × 23 × 22 ) / ( 7 × 6 × 5 × 4 × 3 × 2 × 1 )
[tex]C_{28,7}[/tex] = 1184040
Thus, we can conclude that total selections that can be made is 1184040.
To know more about Combination refer to the link:
https://brainly.com/question/11732255
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