The value of k would be "k=\\sum\\limits_{i_1=1}^{n_1} \\sum\\limits_{i_2=1}^{n_2}...\\sum\\limits_{i_m=1}^{n_m}1" ="\\sum\\limits_{i_1=1}^{n_1} \\sum\\limits_{i_2=1}^{n_2}...\\sum\\limits_{i_{m-1}=1}^{n_{m-1}}n_m" ="\\sum\\limits_{i_1=1}^{n_1} \\sum\\limits_{i_2=1}^{n_2}...\\sum\\limits_{i_{m-2}=1}^{n_{m-2}}n_m \\cdot n_{m-1}=""=...=\\prod\\limits_{i=1}^{m}n_i"
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