If \( \mathrm{N} \) is the number of ways dividing \( 2 \mathrm{n} \) people into \( \mathrm{n} ....

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If \( \mathrm{N} \) is the number of ways dividing \( 2 \mathrm{n} \) people into \( \mathrm{n} \)
\( \mathrm{P} \)
couples then
W.
(1) \( 2^{n} N=(2 n) \) !
(2) \( N /(n !=(1.3 .5 \ldots . .(2 n-1)) \)
(3) \( N={ }^{2 n} C_{n} \)
(4) \( 2^{n} \)


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