Generating random index numbers from an array excluding some values

I need to extract 4 different random numbers from an array, excluding some index values. For example, in the code bellow I need to exclude 2 and 3.

Well, no problem, I create a lookup table containing only with the values I need, then 'random_number' +1, + 2, + 5... will give me the other 3 numbers. Won't work... because adding different numbers to a random number will give 2 or 3 at some point.

Why not generate 4 separate random numbers from the pool? There won't a 2 or 3, but especially from a small lookup table there will be duplicate random numbers...

I don't want to exclude those unwanted values from the array because this will mess with index calculations.

     #include <iostream>
            #include <string>
            #include <cstdlib>
            #include <algorithm>
            #include <vector>  
            
            int main()
            
            {
            static int rand_pool[]{0,1,4,5,6,7,8,9};
            std::string years[] = {"2001", "2002", "2003", "2004","2005","2006", "2007", "2008", "2009", "2010"};
            
            srand((int)time(0));
            int random_number = rand_pool[rand() % 8];
            std::vector<std::string> random_years = {years[random_number], years[1+random_number], years[2+random number}, years[3+random number};
std::vector<std::string>::iterator it;
    it = random_years.begin();
        for (it = random_years.begin(); it < random_years.end(); it++)
        std::cout << "\n" << *it << "\n";
        }