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How many different paths from A to T can we take if we go directly fro
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04 Aug 2023, 08:20
04 Aug 2023, 08:20
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How many different paths from A to T can we take if we go directly from A to T without retracing any point along the path?
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9
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How many different paths from A to T can we take if we go directly fro
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04 Aug 2023, 08:21
04 Aug 2023, 08:21
Expert Reply
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How many different paths from A to T can we take if we go directly from A to T without retracing any point along the path?
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9
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Re: How many different paths from A to T can we take if we go directly fro
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08 Aug 2023, 02:21
08 Aug 2023, 02:21
Expert Reply
OE
To go from ๐ด to ๐, path will be:
๐ด to ๐ต: 1 way
๐ต to ๐ธ: can go via ๐ถ or via ๐ท or straight line, hence, 3 ways.
๐ธ to ๐: 1 way
๐ to ๐: 3 ways (via ๐ or via ๐ or straight line)
๐ to ๐: 1 way
Hence, (๐ด to ๐ต) and (๐ต to ๐ธ) and (๐ธ to ๐) and (๐ to ๐) and (S to ๐)
[ Wherever 'AND' is used, we multiply. Wherever 'OR' is used, we add.]
= 1 ร 3 ร 1 ร 3 ร 1
= 9
Ans. (9)
To go from ๐ด to ๐, path will be:
๐ด to ๐ต: 1 way
๐ต to ๐ธ: can go via ๐ถ or via ๐ท or straight line, hence, 3 ways.
๐ธ to ๐: 1 way
๐ to ๐: 3 ways (via ๐ or via ๐ or straight line)
๐ to ๐: 1 way
Hence, (๐ด to ๐ต) and (๐ต to ๐ธ) and (๐ธ to ๐) and (๐ to ๐) and (S to ๐)
[ Wherever 'AND' is used, we multiply. Wherever 'OR' is used, we add.]
= 1 ร 3 ร 1 ร 3 ร 1
= 9
Ans. (9)
