Baby Kelsey wants to arrange 7 blocks in a row. How many different arrangements can she make? There are ____ ways to arrange the 7 blocks.

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03-11-2022
Mathematics

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Baby Kelsey wants to arrange 7 blocks in a row. How many different arrangements can she make? There are ____ ways to arrange the 7 blocks.

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AnderssonF380481idn AnderssonF380481idn · Answer 1 · 2022-11-03T20:55:07-04:00

AnderssonF380481idn AnderssonF380481idn

03-11-2022

ANSWER

5040 ways

EXPLANATION

When she puts the first block, she has 7 blocks to choose from. Then, for the second block, she has 6 blocks to choose from - since one is already placed. For the third block, she has 5 options, and so on. Therefore, to arrange all 7 blocks in a row,

[tex]7\cdot6\cdot5\cdot4\cdot3\cdot2\cdot1=5040[/tex]

Hence, there are 5040 ways to arrange the 7 blocks.

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