Permutations (Medium)

Permutations: core idea

• 1. How many ways can $6$ people sit in a row if two specified people sit together?

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• 2. How many $4$-digit even numbers use $1,2,3,4$ once each?

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• 3. How many circular arrangements of $5$ distinct people are there?

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• 4. How many ways can $3$ officers be chosen in order from $8$ people?

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• 5. How many arrangements of $MISS$ are there?

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• 6. How many ways can $7$ books be arranged if two specified books are not adjacent?

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• 7. How many ways can $4$ boys and $3$ girls line up if all girls are consecutive?

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• 8. How many distinct arrangements of $LEVEL$ are there?

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• 9. How many $5$-digit numbers use $0,1,2,3,4$ once each and do not begin with $0$?

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