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:<math>\frac{n!}{m!(n-m)!}</math>
gives the number of ''m''-element subsets of an ''n''-element set, and the [[Q-factorial#Relationship to the q-bracket and the q-binomial|''q''-binomial coefficient]]
:<math>\frac{[n]
gives the number of ''m''-dimensional subspaces of an ''n''-dimensional vector space over '''F'''<sub>''q''</sub>.
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