Amazon OA 2021 card trick question
Anonymous User
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You are given 10 types of cards. Every card has a specific number written on it from 0 to 9 There are K cards for each number. You have a total of 10K cards.

Task:
Select N cards from the provided 10*K cards and determine the number of different sets of N cards that can be generated.
The size of these sets must be N if the order of the cards of the cards is different in two sets, then these sets are considered equal.

The size of these sets must be N if the order of the cards is different in two sets, then these sets are considered output.

Print answer modulo 10^9+7

Example:
Input:
K=1 , N=2

Output:
45

Brute force solution wasn't passing. Can anyone provide a optimized solution?

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