You and your friend are told that there are N cards, each are numbered from 1 to N. You will randomly select 6 cards. Using the perfect coding system which you had set with your friend previously, you will select one card and transfer the other five to your friend. By just examining the order of these numbered five cards, your friend will be able to know the card youve selected.

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You and your friend are told that there are N cards, each are numbered from 1 to N. You will randomly select 6 cards. Using the perfect coding system which you had set with your friend previously, you will select one card and transfer the other five to your friend. By just examining the order of these numbered five cards, your friend will be able to know the card youve selected.

What can be the maximum value for N?

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