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Unformatted text preview: committees and subcommittee. Now assume that we pick the subcommittee rst. This can be done in n i ways. We then pick the committee in n-i j-i ways resulting in a total n i n-i j-i . Part (b): I think that the lower index on this sum should start at i (the smallest subcom-mittee size). If so then we have n j = i n j j i = n j = i n i n-i j-i = n i n j = i n-i j-i = n i n-i j =0 n-i j = n i 2 n-i ....
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- Winter '08