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Grades 9-10 Video Solutions 2024
2024_9-10_17
2024_9-10_17
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Video Transcription
There are four vases on the table. Suites have been placed in the vases. The number of suites in the first vase is the number of vases that contain exactly one suite. The number of suites in the second vase is equal to the number of vases that contain exactly two suites. The number of suites in the third vase is equal to the number of vases that contain exactly three suites. The number of suites in the fourth vase is equal to the number of vases that contain exactly zero suites. How many suites are in all the vases together? So we have a little bit of a meta-referential question about the vases and the number of suites in each vase. So first note that in each vase we can't have more than four suites because that would imply that there are more than four vases because the number of suites in each vase counts vases. Also, a vase could not have four suites because that would imply there are four vases with some number, zero to three, number of suites which we know cannot be true. Thus, each vase must have zero to three suites. Then, because each suite counts vases, and because we have four vases, then we must have four suites. A possible assignment could be 2, 1, 0, 1, or 2, or sorry, 0, 2, 0, 2.
Video Summary
There are four vases on the table. Suites have been placed in the vases. The number of suites in the first vase is the number of vases that contain exactly one suite. The number of suites in the second vase is equal to the number of vases that contain exactly two suites. The number of suites in the third vase is equal to the number of vases that contain exactly three suites. The number of suites in the fourth vase is equal to the number of vases that contain exactly zero suites. How many suites are in all the vases together? So we have a little bit of a meta-referential question about the vases and the number of suites in each vase. So first note that in each vase we can't have more than four suites because that would imply that there are more than four vases because the number of suites in each vase counts vases. Also, a vase could not have four suites because that would imply there are four vases with some number, zero to three, number of suites which we know cannot be true. Thus, each vase must have zero to three suites. Then, because each suite counts vases, and because we have four vases, then we must have four suites. A possible assignment could be 2, 1, 0, 1, or 2, or sorry, 0, 2, 0, 2.
Keywords
vases
suites
meta-referential
puzzle
solution
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