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There are $\\var{a}$ choices for who comes first.
\nGiven we know who comes first, there are $\\var{a-1}$ choices for who comes second.
\nGiven we know who comes first and second, there are $\\var{a-2}$ choices for who comes third. And so on.
\nSo there are $\\var{a}\\times \\var{a-1}\\times \\cdots\\times1=\\var{a}!=\\var{ans}$ ways in which the race can finish.
", "statement": "Suppose $\\var{a}$ people take part in a race. How many different outcomes does the race have, assuming that there are no ties? This includes all $\\var{a}$ positions.
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