General Combinatorics

Question

How many 6 digit numbers can be formed from 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6?

Answer 1

21!/2! 3! 4! 5! 6!

Comments

The answer is 31321. But I am not able to understand the method.

https://www.quora.com/How-many-6-digit-numbers-can-be-formed-from-1-2-2-3-3-3-4-4-4-4-5-5-5-5-5-6-6-6-6-6-6

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I am sure GATE will not ask us to calculate the entire value.

@Vishal Goyal is right. This is the sort of answer they will provide you with in the options.