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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.

Baby Kelsey wants to arrange 7 blocks in a row. How many different arrangements can-example-1

1 Answer

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ANSWER

5040 ways

Step-by-step 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,


7\cdot6\cdot5\cdot4\cdot3\cdot2\cdot1=5040

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

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