Please show all work.

$1.$

a$.$ Please use the Hungarian Method for finding the optimal assignment of jobs to workers.

Abigail charges $12$ dollars for Yardwork, $25$ dollars for Repairs, and $20$ dollars for Painting. Bich charges $3$ dollars for Yardwork, $5$ dollars for Repairs, and $16$ dollars for Painting. Caleb charges $4$ dollars for Yardwork, $10$ dollars for Repairs, and $18$ dollars for Painting. You want all three jobs done for the cheapest total amount possible between these three workers.

b$.$ What are the odds of throwing three dice together, that EXACTLY two of the three resulting numbers will match?

c$.$ What is the probability that throwing $10$ dice together, you will throw AT LEAST two $3$s on the dice?