Math Challenges

Submissions for Problem #32

Problem #32

How many committees of size six can be made from a group of ten people if
i) there are no restrictions?
ii) Both Jim and Pam must be on the committee?
iii) Either Jim or Pam (but not both) must be on the committee?

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zapwai

Solution: \( \displaylines{i)\begin{pmatrix}10\\ 6\end{pmatrix}=210\\ ii)\begin{pmatrix}8\\ 4\end{pmatrix}=70\\ iii)2\begin{pmatrix}8\\ 5\end{pmatrix}=112} \)