1) You have a sample of 9 flowers from pea plants.(a) Suppose 7 of them are white, and 2 of them are purple. If you line them up in a row, how many different arrangements can you get? Note: WWWWWWWPP is one arrangement, WPWPWWWWW is another arrangement, and so on. You do NOT want to actually list all possible arrangements - instead, use what you learned in class to calculate this.(b) Now suppose 2 of them are white and 7 of them are purple. How many different arrangements can you get?(c) How many arrangements do you have for 1 white and 8 purple? (d) How many arrangements do you have for 0 white and 9 purple?

Question
Asked Sep 23, 2019
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1) You have a sample of 9 flowers from pea plants.

(a) Suppose 7 of them are white, and 2 of them are purple. If you line them up in a row, how many different arrangements can you get? Note: WWWWWWWPP is one arrangement, WPWPWWWWW is another arrangement, and so on. You do NOT want to actually list all possible arrangements - instead, use what you learned in class to calculate this.

(b) Now suppose 2 of them are white and 7 of them are purple. How many different arrangements can you get?

(c) How many arrangements do you have for 1 white and 8 purple? (d) How many arrangements do you have for 0 white and 9 purple?

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Expert Answer

Step 1

From the given information,

Number of flowers in a pea plant = 9

Step 2

A)

Number of white flowers = 7,

Number of white flowers = 2,

Thus, possible arrangement can be calculated as:

Since, 7 white flowers are identical, and 2 purple are also identical.

Therefore,

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9! Total arrangem ent 7 bx 2! 9x8x7! 7bx2 -36 ways

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Step 3

b)

Number of white flowers = 2,

Number of white flowers = 7,

Thus, possible arrangement can be calculated as:

Since,...

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Image Transcriptionclose

9! Total arrangement 7 bx2! 9x8x7! 7bx2 =36 ways

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