Multiple choice

Consider a set x = {a, b, c, d}. The number of binary operations that can be defined on x is

  1. 42

  2. 24

  3. 216

  4. 416
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

A binary operation on a set x with n elements is a function from x * x to x. The number of such functions is n^(n^2). With n = 4, the number of binary operations is 4^(4^2) = 4^16.

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