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Showing posts with the label Combinatorics

The Chessboard Challenge

On an 8x8 chessboard, a knight is placed at one corner. What is the total number of squares (including the one it starts on) the knight can move to in its first move? Remember, a knight moves in an L-shape: two squares in one direction and then one square perpendicular to that, or one square in one direction and then two squares perpendicular to that.

How many special numbers are there?

A number is called 'special' if it is a three-digit number and its digits are in arithmetic sequence. How many 'special' numbers are there where the middle digit is 5?

How many different 3 digit numbers can you make?

How many different 3 digit numbers can you make from the digits 1, 1 and 3? You can use each digit as many times as you like.

Combinatorics

 How many different four digit numbers can be made from the digits 2, 2, 2, 3 and 3?