For any nonempty set t whose elements are positive integers, define f(t) to be the square of the product of the elements of t. for example, if t={1,3,6}, then f(t)=(1⋅3⋅6)²=18²=324. consider the nonempty subsets t of {1,2,3,4,5,6,7} that do not contain two consecutive integers. if we compute f(t) for each such set, then add up the resulting values, what do we get?

Recall that in one condition of the experiment conducted by stasser and titus (1985) about student council president candidates, all group members had access to the same information, and that in another condition, members had unique information that other group members didn't know. in the second (unshared information) condition, the group made a worse decision than in the first (shared information) condition. this occurred because groups seldom can agree on who is most expert. focus discussion on the information that all members know. often ignore dissenting opinions. avoid differences of opinion, given conformity pressures.