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Fix mathematical error in Chapter 1, Problem 57 solution#140

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fifthist merged 1 commit into
fifthist:masterfrom
skntrl:fix-ch1-prob57
Mar 9, 2026
Merged

Fix mathematical error in Chapter 1, Problem 57 solution#140
fifthist merged 1 commit into
fifthist:masterfrom
skntrl:fix-ch1-prob57

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@skntrl skntrl commented Mar 2, 2026

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Description

This PR corrects an error in the solution for Chapter 1, Mixed Practice, Problem 57.

The Issue:

The original solution incorrectly calculated the probability by not including the combinatorial part in the summation. Thus, the solution also ended up incorrect.

The Fix:

I have updated the solution to reflect the correct mathematical approach, where:

  • Combinatorial part is included in the summation
  • Final result is updated to be ${1} - {e^{-1}}$ instead of the incorrect ${e^{-1}}$

Formatting:
I have ensured the new '.tex' file follows the repository's guidelines for naming structure.

Let me know if you need any changes to the formatting or explanation!

…mbinatorial part for Principle of Inclusion-Exclusion
@fifthist fifthist merged commit 0fb1d1b into fifthist:master Mar 9, 2026
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@skntrl skntrl deleted the fix-ch1-prob57 branch March 9, 2026 09:12
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2 participants