Picking random numbers from array without duplicate picks

I have a program that will pick random numbers from an array. I need to modify it so it will not pick duplicate numbers (numbers can only appear once in the array). Possibly could I add the already picked values to another array and check if the value exists in both arrays? Any tips are appreciated, thank you.

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

int main() {
int array[] = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9};
int size = 10;
int numDigits = 5;
int temp;
int x;
int finalArray[] = {};
srand(time(0));


for (int i = 0; i < 5; i++) {
    array[i] = rand() % 10;
}

for (int i = 0; i < 5; i++) {    // shuffle array
    int temp = array[i];
    int randomIndex = rand() % 10;

    array[i]           = array[randomIndex];
    array[randomIndex] = temp;
    finalArray[i] = array[randomIndex];



}

for (int i = 0; i < 5; i++) {    // print array
    printf("%d,",array[i]);
}

}