Question

What is the maximum number of Xs which can be placed on a 3by3 Tic-Tac-Toe board

without a three-in-a-row in any direction?

a. 4

b. 5

C. 6

d. 7​

Answer 1

Answer:

6 is the answer of this question

Answer 2

The maximum number of Xs which can be placed is 6 Xs (option C).

This can be done in the following way:

• There are 9 squares in the Tic-Tac-Toe board and there is a condition that no row should contain 3 Xs.

• Let us begin in the following way:

• Row 1: Xs in row 1 can be placed in the following way:

=> X-X-__ ("_" represents blank square)

• Row 2: Xs in row 2 can be placed in the following way:

=> X-__-X

• Row 3: Xs in row 3 can be placed in the following way:

=> __-X-X

• The complete matrix of Tic-Tac-Toe is shown below:

      X-X-__

       X-__-X

        __X-X

• Hence, a maximum of 6 Xs can be placed onboard without repeating three-in-a-row in any direction.