#include <iostream>
 
#define NVAL	3
#define DIM_2  10 // use some more meaningfull name
#define DIM_3   2
 
// assuming something like
struct Card {
	int suit;
	int val;
};
 
int main() {
	// You are comparing a 3D array declared like this:
	Card permutations[NVAL][DIM_2][DIM_3];
 
	// with a dynamical allocated one
	int valid = NVAL;    
	Card ***perm = new Card**[valid];
	// congrats, you are a 3 star programmer and you are about to become a 4...
	for ( int i = 0; i < valid; i++ ){
		perm[i] = new Card*[DIM_2];
		// you inverted this ^^^ dimension with the inner one
 
		for (int j = 0; j < DIM_2; j++)
			// same value   ^^^^^
			perm[i][j] = new Card[DIM_3];
			// inner dimension    ^^^^^
	}
 
	// let's test them
	for ( int i = 0; i < NVAL; ++i ) {
		for ( int j = 0; j < DIM_2; ++j ) {
			for ( int k = 0; k < DIM_3; ++k ) {
				permutations[i][j][k] = { k % 2, j };
				perm[i][j][k] = permutations[i][j][k];
			}
		}
	}
 
	for ( int i = 0; i < NVAL; ++i ) {
		for ( int j = 0; j < DIM_2; ++j ) {
			for ( int k = 0; k < DIM_3; ++k ) {
				std::cout << "card: " << i << ' ' << j << ' ' << k << " = "
					<< permutations[i][j][k].suit << ' '
					<< permutations[i][j][k].val << " or " 
					<< perm[i][j][k].suit << ' ' << perm[i][j][k].val << '\n';
			}
		}
	}
 
	return 0;
}

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