Oh, dude, arranging 6 counters in equal rows is like a puzzle, man. So, if you're into math and stuff, there are 720 different ways you can do it. But hey, who's counting, right? Just go with the flow and arrange those counters however you like.
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To calculate the number of ways you can arrange 6 counters in equal rows, you need to consider the concept of permutations. Since there are 6 counters, you have 6! (6 factorial) ways to arrange them in a line. However, if you want to arrange them in equal rows, you need to divide the total number of arrangements by the number of rows. If you want to arrange them in 2 equal rows, you would have 6! / (2!)^3 ways to arrange them.
Ah, arranging counters can be a delightful experience! If you have 6 counters and want to arrange them in equal rows, you can create 3 rows with 2 counters in each row, or 2 rows with 3 counters in each row. Remember, there's no right or wrong way to arrange them, just let your creativity flow like a happy little stream.
Four ways:
4
by 2 rows
Make 4 equally spaced columns of 3 matchsticks. Across the top put the first row of 3 matchsticks and then put a further two rows of matchsticks equally spaced. This will form 9 small equal squares within a larger square.
8 rows of 6 students 6 rows of 8 students 4 rows of 12 students 3 rows of 16 students 2 rows of 24 students 1 row of 48 students
Since the columns of AT equal the rows of A by definition, they also span the same space, so yes, they are equivalent.