Six cards and six envelopes are numbered 1\(, 2, 3, 4, 5, 6\) and cards are to be placed in envelopes so that each envelope contains exactly one card and no card is placed in the envelope bearing the same number.

Moreover the card numbered 1 is always placed in envelope numbered 2. Find the number of ways in which this can be done.

\(\textbf{Details}\)

- This problem appeared in JEE (Advanced) 2014 Paper 2.

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