The combination helps us to know the number of ways an object can be arranged. The number of different pairs of after-school activities that Dennis can choose from the available 5 activities is 10.
The combination helps us to know the number of ways an object can be arranged without a particular manner. A combination is denoted by 'C'.
ⁿCₓ = (n!)/[x! × (n-x)!]
where,
n is the number of choices available,
x is the choice to be made.
The number of different pairs of after-school activities that Dennis can choose from the available 5 activities is,
Number of different pairs = ⁵C₂ = 10
Hence, The number of different pairs of after-school activities that Dennis can choose from the available 5 activities is 10.
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