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3. (Permutation and combination) There are 10 landmarks in a city. Ann is supposed to stay...

3. (Permutation and combination) There are 10 landmarks in a city. Ann is supposed to stay in the city for 3 days. Because of time constraint, Ann must choose only one landmark for each day. Suppose Ann does not want to visit the same place more than once. How many options Ann should consider?

4. Ann visits a restaurant and finds that there are 5 main dishes and 3 desserts. Ann is considering to choose 2 main dishes and 1 dessert. How many options does she have?

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Answer #1

3. Total landmarks = 10

3 landmakrs can be chosen in 10C3 ways

ANS : 120 ways

4. Main dishes = 5

Deserts = 3

2 main dishes can be selected in 5C2 ways

1 dessert can be selected in 3C1 way

Total numner of options = 5C2 *. 3C1

  Total numner of options = 5C2 *. 3C1 = 10 * 3 = 30

ANS : 30 ways

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