Full House (better solution)

/* In most Poker games, the "full house" hand is defined as three cards of the same face
 * + two cards of the same face, other than the first, regardless of the card's suits.
 * The cards faces are "2", "3", "4", "5", "6", "7", "8", "9", "10", "J", "Q", "K" and "A".
 * The card suits are "♣", "♦", "♥" and "♠".
 * Write a program to generate and print all full houses and print their number. */

public class _03_FullHouse {

    private static String[] faceCards = { "2", "3", "4", "5", "6", "7", "8", "9", "10", "J", "Q", "K", "A" };

    private static char[] suitCards = { '\u2663', '\u2666', '\u2665', '\u2660' };

    public static void main(String[] args) {
        // TODO Auto-generated method stub
        int countFullHouses = generateAndPrintAllFullHouses();

        System.out.println();
        System.out.printf("The all combinations of generated full houses are: %d full houses!%n",
                        countFullHouses);
    }

    private static int generateAndPrintAllFullHouses() {
        int counter = 0;
        System.out.println("The all combinations of generated full houses with Jokers are:");
        int f1, f2;
        int[] colors;
        for (f1 = 0; f1 < faceCards.length; f1++) {
            for (f2 = 0; f2 < faceCards.length; f2++) {
                if (f2 != f1) {
                    colors = new int[5];
                    for (colors[0] = 0; colors[0] < suitCards.length; colors[0]++) {
                        for (colors[1] = colors[0] + 1; colors[1] < suitCards.length; colors[1]++) {
                            for (colors[2] = colors[1] + 1; colors[2] < suitCards.length; colors[2]++) {
                                for (colors[3] = 0; colors[3] < suitCards.length; colors[3]++) {
                                    for (colors[4] = colors[3] + 1; colors[4] < suitCards.length; colors[4]++) {
                                        counter++;
                                        printTheNextFullHouse(f1, f2, colors);
                                    }
                                }
                            }
                        }
                    }
                }
            }
        }

        return counter;
    }

    private static void printTheNextFullHouse(int face1, int face2, int[] colors) {
        System.out.printf("(%1$s%2$s %1$s%3$s %1$s%4$s ", faceCards[face1],
                suitCards[colors[0]], suitCards[colors[1]],
                suitCards[colors[2]]);
        System.out.printf("%1$s%2$s %1$s%3$s) ", faceCards[face2],
                suitCards[colors[3]], suitCards[colors[4]]);
    }

}