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Question: 2013 Fall Midterm - 14

Author: Pat Morin
What does the summation $ \sum_{k=7}^{n} \binom{k-1}{6} $ count?
(a)
The numbre of subsets of ${1, 2, 3, ..., n}$ having size 6
(b)
None of the above.
(c)
The numbre of subsets of ${1, 2, 3, ..., n}$ having size 5
(d)
The numbre of subsets of ${1, 2, 3, ..., n}$ having size 7