In a lottery, a person choses six different natural numbers at random from 1 to 20, and if these six numbers match with the six numbers already fixed by the lottery committee, he wins the prize. What is the probability of Winning the prize in the game. [Hint order of the numbers is not important.]

Explanation

Number of ways in which 6 numbers can be chosen from 20


= `""^20 C_6`

=38760

Out of which only 1 is correct.


Hence,
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