Permutations (Easy)

Permutations: core idea

• 1. How many ways can the letters of $CAT$ be arranged?

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• 2. How many $3$-digit numbers can be made from $1,2,3$ without repetition?

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• 3. In how many orders can $5$ runners finish?

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• 4. How many ways can you choose a president then vice president from $6$ people?

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• 5. How many ways can $3$ people sit in $3$ labeled chairs?

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• 6. How many arrangements of $A,B,C,D$ begin with $A$?

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• 7. How many ways can $2$ different prizes be awarded to $5$ people, with no repeat winner?

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• 8. How many $2$-letter strings without repetition use $A,B,C,D$?

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• 9. How many ways can $5$ cards be ordered in a row?

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