Question

Q.17> In how many ways 4 arts students and 4 science Students be arranged alternative at a round table?

Answer 1

Using the arrangements formula, it is found that there are 1152 ways for the students to be arranged alternatively at the table.

What is the arrangements formula?

The number of possible arrangements of n elements is given by the factorial of n, that is:

$A_n = n!$

In this problem, we have that:

• With the art students at the odd numbered places and the science students at the even numbered places, there are 4! x 4! ways.

• Same number of ways if they exchange, art even and science odd.

Hence the number of ways is:

2 x 4! x 4! = 1152

More can be learned about the arrangements formula at brainly.com/question/24648661

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