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How many different ways can you
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- Suppose you have 1 card: A. There's only one way you can put it in order.
- If you have two cards A and B, you can arrange them in two different ways. They can be AB or BA.
- With three cards A,B and C there are six different ways: ABC, ACB, BAC, BCA, CAB, CBA
factorial. Some calculators (including the one found on computers) have a special ! button.
Let's move on a bit. - If you've got four cards you can arrange them in 4! = 24 ways.
- If you've got five cards you can arrange them in 5! = 120 ways.
- If you've got six cards you can arrange them in 6! ways = 720 ways.
- The number of ways you can arrange 10 cards is 3,628,800
- The number of ways you can arrange 13 cards is 6,227,020,800
- The number of ways you can arrange 20 cards is 2,432,902,008,176,640,000. That's two and a half
*billion billion*.
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