Piva and Glasses

import java.math.BigInteger;
import java.util.Scanner;

public class PivaAndGlases {
    public static void main(String[] args) {
        Scanner input = new Scanner(System.in);
        StringBuilder letters = new StringBuilder(input.nextLine());

        int length = letters.length();
        BigInteger divideBy = BigInteger.ONE;

        for (int i = 0; i < length; i++){

            char charAtI = letters.charAt(i);
            int count = 1;
            if(charAtI != '0') {
                for (int j = i+1; j < length; j++){
                    char charAtJ = letters.charAt(j);
                    if(charAtI == charAtJ){
                        count++;
                        letters.setCharAt(j, '0');
                    }
                }
                divideBy = divideBy.multiply(fact(count));
            }


        }
        BigInteger result = fact(length).divide(divideBy);

        System.out.println(result);
    }


    public static BigInteger fact(int a)
{
    BigInteger factorial = BigInteger.ONE;

    BigInteger factz = BigInteger.valueOf(a);

    if(a == 1)
    {
        return factorial;
    }

    else
    {
        return factz.multiply(fact(a-1));
    }
}
}

Test 1

Verdict: ACCEPTED

Test 2

Verdict: ACCEPTED

Test 3

Verdict: ACCEPTED

Test 4

Verdict: ACCEPTED

Test 5

Verdict: ACCEPTED

Test 6

Verdict: ACCEPTED

Test 7

Verdict: ACCEPTED

Test 8

Verdict: ACCEPTED

Test 9

Verdict: ACCEPTED

Test 10

Verdict: ACCEPTED

Test 11

Verdict: ACCEPTED

Test 12

Verdict: ACCEPTED

Test 13

Verdict: ACCEPTED

Test 14

Verdict: ACCEPTED

Test 15

Verdict: ACCEPTED

Test 16

Verdict: ACCEPTED

Test 17

Verdict: ACCEPTED

Test 18

Verdict: ACCEPTED

Test 19

Verdict: ACCEPTED

Test 20

Verdict: ACCEPTED

Test 21

Verdict: ACCEPTED

Test 22

Verdict: ACCEPTED

Test 23

Verdict: ACCEPTED

Test 24

Verdict: ACCEPTED

Test 25

Verdict: ACCEPTED

Test 26

Verdict: ACCEPTED

Test 27

Verdict: ACCEPTED

Test 28

Verdict: ACCEPTED

Test 29

Verdict: ACCEPTED

Test 30

Verdict: ACCEPTED