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Random4422
02.01.2020 •
Mathematics
By [n][n] we denote the set {1,…,n}. a function f: [m]→[n] is called monotone if f(i) \leq f(j)f(i)≤f(j)whenever i < ji
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Ответ:
There are a total of
functions.
Step-by-step explanation:
In order to define an injective monotone function from [3] to [6] we need to select 3 different values fromm {1,2,3,4,5,6} and assign the smallest one of them to 1, asign the intermediate value to 2 and the largest value to 3. That way the function is monotone and it satisfies what the problem asks.
The total way of selecting injective monotone functions is, therefore, the total amount of ways to pick 3 elements from a set of 6. That number is the combinatorial number of 6 with 3, in other words
Ответ:
If you do 33^2+56^2=65^2
33^2=1089 56^2=3136. Add that together equals 4225 and if you do 65^2 it equals 4225 which would mean it is a right triangle