3! = 1 x 2 x 3 = 6
4! = 1 x 2 x 3 x 4 = 24
∴ 3! + 4! = 6 + 24 = 30
7! = 1 x 2 x 3 x 4 x 5 x 6 x 7 = 5040
∴ 3! + 4! ≠ 7!
\(f(x) = \begin{cases} x^2, & \quad 0≤x≤3\\ 3x, & \quad 3≤x≤10 \end{cases}\)
The relation g is defined by
\(g(x) = \begin{cases} x^2, & \quad 0≤x≤2\\ 3x, & \quad 2≤x≤10 \end{cases}\)
Show that f is a function and g is not a function.
Permutation is the method or the act of arranging members of a set into an order or a sequence.
Combination is the method of forming subsets by selecting data from a larger set in a way that the selection order does not matter.