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An ordinary cubical dice having six face...

An ordinary cubical dice having six faces marked with alphabets A, B, C, D, E, and F is thrown `n` times and ht list of `n` alphabets showing p are noted. Find the total number of ways in which among the alphabets A, B, C D, E and F only three of them appear in the list.

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AI Generated Solution

To solve the problem of finding the total number of ways in which among the alphabets A, B, C, D, E, and F only three of them appear in the list after throwing a cubical die `n` times, we can follow these steps: ### Step 1: Choose 3 Letters from 6 We need to select 3 letters from the 6 available letters (A, B, C, D, E, F). The number of ways to choose 3 letters from 6 can be calculated using the combination formula: \[ \text{Number of ways to choose 3 letters} = \binom{6}{3} \] ...
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