Question

Combinatorics is a branch of math focused on arrangements of

Answer 1

Answer:

He needs 9 circular tables and 3 square tables.

Step-by-step explanation:

Given:

Number of persons in each circular table = 10

Number of persons in each square table = 4

Now, in order to maximize number of circular tables, we must find the maximum multiple of 10.

Multiples of 10 = 10, 20, 30, 40, 50, 60, 70, 80, 90, 100.

Now, if we take 100, then the seats remaining are 2. But the square tables require 4 persons. So, 100 is not correct.

Next, if we choose 90 as a multiple of 10, then the circular tables used would be $\frac{90}{10}=9$.

Now, number of guests left are 102 - 90 = 12. Now, 12 is a multiple of 4. So, 3 square tables can accommodate 12 persons as $4\times 3=12$.

Therefore, he has to use 9 circular tables and 3 square tables to maximize the number of circular tables.