Question

A girl student has sarees of 5 different
colours; blue, green, red, white and yellow.
On
Mondays she does not wear green; on
Tuesdays blue or red; on Wednesday blue or
green; on Thursdays red or yellow; on Fridays
red. In how many ways can she dress without
repeating a colour during a week solve using rook polynomial method ​

Answer 1

Answer:

Monday........... . ........

Answer 2

ANSWER:

The ways  she can dress without repeating a color during a week are:

Rook polynomial R ( x ,B ) = $720$.

Step-by-step explanation:

Given: Details about the types of sarees a girl wears.

To find how many ways can she dress without repeating a color during a week.

Solution:

• The given data can be arranged into a 5X5 table

• Here the rows represent the color of the sarees and the column represents the days of the week.
• Then we mark the days she wears and what type of sarees on which day.
• The day that has a combination of both are the days required to be left out.
• By using this formula we get:
• Rook polynomial = $R_{m,n}(X)$$= \in\limits^a_b {vk} \, x^k$

• Where,
• a = min m,n
• b = k=$0$

        $= R_5(X) = 720$

• Therefore,  The ways  she can dress without repeating a color during a week are:
• Rook polynomial R ( x ,B ) = $720$

PROJECT CODE: #SPJ3

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