How many different ways can she plant the tomato plants

Asked by maham237 @ in Mathematics viewed by 315 People

Ms. Hernandez has 17 tomato plants that she wants to plant in rows. She will put 2 plants in some rows and 1 plant in the others. How many different ways can she plant the tomato plants?

Answered by maham237 @


The correct answer is:

8 ways.

Explanation:

She will have at least one row with 2 plants, so using 17 rows with 1 plant each will not work.

She can have 15 rows with 1 plant each and 1 row with 2 plants.
She can have 13 rows with 1 plant each and 2 rows with 2 plants.
She can have 11 rows with 1 plant each and 3 rows with 2 plants.
She can have 9 rows with 1 plant each and 4 rows with 2 plants.
She can have 7 rows with 1 plant each and 5 rows with 2 plants.
She can have 5 rows with 1 plant each and 6 rows with 2 plants.
She can have 3 rows with 1 plant each and 7 rows with 2 plants.
She can have 1 row with 1 plant and 8 rows with 2 plants.

This makes 8 different ways to plant these tomatoes.

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