Marie has five television shows recorded on DVR. She has enough time to watch three of them today and must decide in what order she will watch them. How many different orderings of the three shows she watches today can Marie choose?
My answer is 10.
2026-02-23 13:38:39.1771853919
There are 5 shows. In how many orders can Marie watch 3 of them?
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1
Pick the first show. There are $5$ options.
Pick the second show -- there are $4$ options left.
Pick the third show -- now you only have $3$ options.
$5 \times 4 \times 3 = 60$ orders.