In the arrangement of letters and numerals below, by how many different paths can one spell AMC8? Beginning at the A in the middle, a path allows only moves from one letter to an adjacent (above, below, left, or right, but not diagonal) letter. One example of such a path is traced in the picture.8 C 88 C M C 8C M A M C8 C M C 88 C 8(A) 8(B) 9(C) 12(D) 24(E) 36
Answers
In the arrangement of letters and numericals, the total number of different paths can one spell AMC8 are 24 in count.
What is counting principle?A basic counting principle is that if there are p ways to do one thing and q ways to do another, then there are p × q ways to do both. Possible results of experiments. The counting principle can be extended to situations where there are two or more alternatives.
We have, the arrangement of letters and numericals in above figure such that
Beginning at the A in middle M a path allows only moves from one letter to an adjacent either above, below, left, or right, but not diagonal letter.There are three different kinds of paths that are on the above diagram to get the required pattern. The first kind is when you directly count A, M, C in a straight line. The second is when you count A, turn left or right to get M, then go up or down to count 8 and C. The third is the one where you start with A, move up or down to count M, turn left or right to count C, then move straight again to get 8.
There are 8 paths for each kind of path, making for 8×3= 24 paths.
Hence, the required paths are 24 in count.
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Just as a note, you would be better off using 22/7 for pi
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Explanation
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answer:
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