## Hackerrank - K Candy Store Solution

Jim enters a candy shop which has N different types of candies, each candy is of the same price. Jim has enough money to buy K candies. In how many different ways can he purchase K candies if there are infinite candies of each kind?

**Input Format**

The first line contains an integer T, the number of tests.

This is followed by 2T lines which contain T tests:

The first line (of each testcase) is an integer N and the second line (of each testcase) is an integer K.

**Output Format**

For each testcase, print the number of ways Jim can buy candies from the shop in a newline. If the answer has more than 9 digits, print the last 9 digits.

**Note**

This problem may expect you to have solved nCr Table

**Constraints**

1 <= T <= 200

1 <= N < 1000

1 <= K < 1000

**Sample Input**

```
2
4
1
2
3
```

**Sample Output**

```
4
4
```

**Explanation**

There are 2 testcases, for the first testcase we have N = 4 and K = 1, as Jim can buy only 1 candy, he can choose to buy any of the 4 types of candies available. Hence, his answer is 4. For the 2nd testcase, we have N = 2 and K = 3, If we name two chocolates as *a* and *b*, he can buy

```
aaa bbb aab abb
```

chocolates, hence 4.

### Solution in Python

```
def fact(x,y=0):
p = 1
for i in range(y+1,x+1):
p*=i
return p
for _ in range(int(input())):
n = int(input())
k = int(input())
print((fact(k+n-1,n-1)//fact(k))%10**9)
```