Is this algorithm ok to generate pseudo-random numbers?

So I need to write a program to generate 6 random numbers in a given range (1-90) without repetition. This is a classic question but all the answers that I found are based on discarding the numbers that you already generated until you get 6 of them and this is not a good way to do it in my opinion because you may change the distribution of the numbers. So this is what I tried to do:

#include <stdio.h>
#include <stdlib.h>
#include <time.h>

#define SUP 90
#define N 6
#define SUP_N SUP-N

int main()
{
    int array[SUP];
    int i, k, a_size;
    time_t t;

    srand((unsigned)time(&t));
    for(i = 0; i < SUP; i++)
    {
        array[i] = i + 1;
    }    
    a_size = SUP;
    for( i = 1; a_size > SUP_N; a_size--)
    {
        k = rand() % a_size;
        printf("%2d\n", array[k]);
        array[k] = array[a_size - 1];
    }

     return 0;
}