Solve the following problem using the $R$ programming language, and also write the formulas used.

$5\mathrm{.}2$ In a directory of $13$ houses on a street, people are distributed household by household as follows:

$\backslash$table$[[1,2,3,4,5,6,7,8,9,10,11,12,13],[,-,-,-,,-,,-,-,,10,,],[M,M,M,M,M,M,M,M,M,M,M,M,M$