CRE 7 - Letters and Letter Boxes | Modern Math - Permutation & Combination

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Answer the next 4 questions based on the information given below:

There are 4 letters and 3 letter boxes. In how many ways can letters be posted in these letter boxes if

1. CRE 7 - Letters and Letter Boxes | Modern Math - Permutation & Combination

All 4 letters are distinct, and 3 letter boxes are also distinct.

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2. CRE 7 - Letters and Letter Boxes | Modern Math - Permutation & Combination

All 4 letters are similar, and 3 letter boxes are also similar.

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7 8 9 4 5 6 1 2 3 0 . -

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3. CRE 7 - Letters and Letter Boxes | Modern Math - Permutation & Combination

All 4 letters are similar, but the 3 letter boxes are distinct.

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7 8 9 4 5 6 1 2 3 0 . -

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4. CRE 7 - Letters and Letter Boxes | Modern Math - Permutation & Combination

All 4 letters are distinct, but the 3 letter boxes are similar.

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7 8 9 4 5 6 1 2 3 0 . -

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5. CRE 7 - Letters and Letter Boxes | Modern Math - Permutation & Combination

In how many ways can 12 distinct shirts be distributed among 3 people such that each person may / may not get a shirt?

6. CRE 7 - Letters and Letter Boxes | Modern Math - Permutation & Combination

In how many ways can 12 identical shirts be distributed among 3 people such that each person may / may not receive a shirt?

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7. CRE 7 - Letters and Letter Boxes | Modern Math - Permutation & Combination

In how many ways can 12 identical shirts be distributed among 3 people such that each person gets at least 1 chocolate?

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7 8 9 4 5 6 1 2 3 0 . -

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8. CRE 7 - Letters and Letter Boxes | Modern Math - Permutation & Combination

In how many ways can at most 12 identical shirts be distributed among 3 people such that each person may / may not get a chocolate?

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7 8 9 4 5 6 1 2 3 0 . -

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9. CRE 7 - Letters and Letter Boxes | Modern Math - Permutation & Combination

In how many ways can 12 distinct shirts be distributed among 3 people such that each person receives at least 1 shirt?

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