Counting problems for Grade 6

5 problems with worked solutions.

№ 1 · Counting · Grade 6

Using the digits 1, 2, 3, and 4, four-digit even numbers are formed without repeating a digit. How many numbers are possible?

№ 2 · Counting · Grade 6

There are 12 participants at a meeting. Each person shakes hands with every other participant exactly once. How many handshakes occur?

№ 3 · Counting · Grade 6

Two people must be chosen from 8 participants for a team, with no difference between their roles. How many choices are possible?

№ 4 · Counting · Grade 6

A code consists of three different letters chosen from A, B, C, and D. How many codes are possible if letter order matters?

№ 5 · Counting · Grade 6

A square is divided into a 4 by 4 grid of equal cells. How many squares of all possible sizes can be found?