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Q: What is the number of ways to arrange 3 objects from a set of 8 different objects?

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9×8×7×6×5=15,120

120 ways

10 over 6, which is the same as (10 x 9 x 8 x 7 x 6 x 5) / (1 x 2 x 3 x 4 x 5 x 6).

The first object in the row can be any one of the 4 objects. For each of those . . .The second one in the row can be any one of the remaining 3 objects. For each of those . . .The third one in the row can be either of the remaining 2 objects.The total number of different arrangements is (4 x 3 x 2) = 24 ways.

In 6 way

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9×8×7×6×5=15,120

120 ways

That would be 5x4x3x2x1 or 5! or 120 ways to arrange those objects in a line.

The number of different ways that you can arrange 15 different items is given by the permutations of 15 things taken 15 at a time. That is 15 factorial, or 1,307,674,368,000.

you can arrange 8 pictures 28 different ways

The number of different ways you can arrange the letters MNOPQ is the number of permutations of 5 things taken 5 at a time. This is 5 factorial, or 120.

There are 10 letters is the word JOURNALISM. Since they are all different, the number of ways you can arrange them is simply the number of permutations of 10 things taken 10 at a time, or 10 factorial, or 3,628,800.

you can arrange three beads 9 different ways.

The answer will be an incredibly huge number. There are a different number of windows, each window can refer to a different application, they can be of different sizes, they can be located at different positions.

12!/(5!*7!)The number of ways to arrange nitems is n!, where "!" is the factorial function. The number of ways we can arrange the 12 books is therefore 12!. However, we don't really care what order the first 5 books are in, or what order the last 7 books are in, as long as they're the same books. We therefore divide by the number of ways to arrange 5 books and the number of ways to arrange 7 books.

24 ways

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