Question

in how many ways can aling Rosa arrange 6 spotted plants?​

Answer 1

Answer:

Consider 6. potted plants that you are going to arrange in a row. You can choose first plant in 6 ways (one plant from 6 given), then 5 plants left to be arranged. The second plant can be chosen in 5 ways (one plant from remaining 5) and after you arrange the second plant, only 4 plants left. The third plant you can choose in 4 ways (one plant from remaining 4) and after this procedure only 3 plants left. The fourth plant you can choose in 3 ways (one plant from remaining 3) and only 2 plants left. The fifth plant you can choose in two ways and the last one is determined by the 5 previous.

Then the number of ways to arrange 6 potted plants in a row is

6.5.4.3-2.1 = 6! = 720 ways.

Answer 2

720 ways are the appropriate answer.

Given:

• n = 6

Formula:

We can use easy permutations, P(n, n) = n!

Solution:

• P(n, n) = n!
• P(6,6) = 6!
• P(6,6) = 6×5×4×3×2×1
• P(6,6) = 720

Therefore, aling Rosa can arrange her 6 plants in a row in 720 methods.

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