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QuestionNeed help with Discrete Math Pin
Member 982361929-Mar-13 8:10
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I really hope someone here knows a bit about discrete math. Here's my problem:

A standard notation for the number of partitions of an n-element set into k classes is S(n, k). Because the empty family of subsets of the empty set is a partition of the empty set, S(0, 0) is 1. In addition, S(n, 0) is 0 for n > 0, because there are no partitions of a nonempty set into no parts. S(1, 1) is 1.
A) Explain why S(n, n) is 1 for all n > 0. Explain why S(n, 1)is 1 for all n > 0.
B) Explain why S(n, k) = S(n - 1, k - 1) + kS(n - 1, k) for 1 < k < n.
C) Make a table like Table 1.1 that shows the values of S(n, k) for values of n and k ranging from 1 to 6.

Table 1.1 is [Pascal's triangle].

I'm not asking you guys to DO my homework. I'm just asking for some help with this one problem. Maybe some guidance as to what I should do.

Thanks!
~ Tyler Candee
About Me | Candee Computers

AnswerRe: Need help with Discrete Math Pin
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