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If the letters of the word 'ALGORITHM' a...

If the letters of the word 'ALGORITHM' are arranged at random in a row,what is the probability that the letter GOR must remain together as a unit.

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To solve the problem of finding the probability that the letters G, O, and R in the word "ALGORITHM" remain together as a unit, we can follow these steps: ### Step 1: Treat GOR as a single unit Since we want G, O, and R to stay together, we can treat them as a single unit. Let's denote this unit as X. Therefore, we can rewrite the letters of "ALGORITHM" as: - A, L, X (which represents GOR), I, T, H, M ### Step 2: Count the total units Now, we have the following units to arrange: ...
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