We would like to test 3 different treatments on a particular type of plant. A worker at the local greenhouse will allow us to use 3 amoung 10 plants.

*Note: Each treatment will be used on one and only one plant.*

a) In how many different ways can we assign the plants to the treatments?

Can i answer: by permutations... 10 by 9 by 8 = 720 ways?

I think I answered this question yesterday, but let's try it again. I may have gotten it wrong since I see each treatment is used only once.
There are 10 choose 3 ways to select 3 plants. Since there are 3 possible treatments that can be used, there are 3 choices for the first plant, 2 for the second and only 1 for the third.
This means the total ways is
3!*(10 choose 3) ways the plants can be chosen and the treatments applied.
We would use permutations for the applications and combinations for the way the plants are chosen.
10 choose 3 is 10!/[3!*7!]
3!*10!/[3!*7!]=10*9*8=720 would be sufficient for you answer.

  1. 👍 0
  2. 👎 0
  3. 👁 194

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics

    A cable is lifting a construction worker and a crate, as the drawing shows. The weights of the worker and crate are 833 N and 1380 N, respectively. The acceleration of the cable is 0.620 m/s2, upward. What is the tension in the

  2. statistics

    A researcher reports an F-ratio with df = 2, 36 from an independent-measures research study. Based on the df values, how many treatments were compared in the study and what was the total number of subjects participating in the

  3. Algebra

    you are about to take a test that contain questions of type A worth 4 points and of type B worth 7 points. You must answer at least 5 of type A and 3 of type B, but time restricts answering more than 10 of either type. In total,

  4. economics

    Assume a firm is a monopsonist that can hire its first worker for $6 but must increase the wage rate by $3 to attract each successive worker (so that the second worker must be paid $9, the third $12, and so on). The marginal

  1. Science - "Cells" Unit test Answers

    For my connexus friends, Here is an (almost) entire sheet for the Cells unit test. 1. No, viruses are not alive because they rely on a host organism to be able to reproduce. 2. reproduction 3. chloroplast 4. Both plant cells and

  2. assessment of learning

    When to use an identification type of test? Steps or guidelines in making an identification type of test. Thanks.

  3. math

    A researcher uses analysis of variance to test for mean differences among three treatments with a sample of n = 12 in each treatment. The F-ratio for this analysis would have what df values?

  4. Economics

    Questions: Are the following workers more likely to experience short-term or long-term unemployment? Explain. a. A construction worker laid off because of bad weather. b. A manufacturing worker who loses her job at a plant in an

  1. stats

    Which of the statements is true about blocking? I. Treatments are organized in the same way between blocks. II. They are used to replicate treatments on the same subject. III. Treatments are randomized within blocks. (A) I only

  2. physics

    A worker in a warehouse uses a rope passing through some pulleys to lift a heavy crate. The worker exerts a force five times less than the weight of the crate but has to move the rope four times as far as the crate moves. This

  3. statistics

    The breakdown of workers in a particular state according to their political affiliation and type of job held is shown here. Suppose a worker is selected at random within the state and the worker's political affiliation and type of

  4. algebra

    A biologist knows that the average length of a leaf of a certain full-grown plant is 4 inches. The standard deviation of the population is 0.6 inch. A sample of 20 leaves of that type of plant given a new type of plant food had an

You can view more similar questions or ask a new question.