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  • How many different ways can 5 identical red cups and 4 identical blue cups be arranged in a row?Option: 1 <img alt="123" src="https://entra

How many different ways can 5 identical red cups and 4 identical blue cups be arranged in a row?

Option: 1

123


Option: 2

126


Option: 3

125


Option: 4

129


Answers (1)

best_answer

Given that,

There are 5 identical red cups and 4 identical blue cups.

The total number of cups n = 9.

The number of ways the identical red cups are arranged is 5! Ways.

The number of ways the identical blue cups are arranged is 4! Ways.

Thus, the total number of arrangements is given by,

\begin{aligned} \frac{9 !}{5 ! 4 !} & =\frac{9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2}{5 \times 4 \times 3 \times 2 \times 4 \times 3 \times 2} \\ \frac{9 !}{5 ! 4 !} & =126 \end{aligned}

Therefore, the total number of ways of arranging the cups is 126 ways.

 

Posted by

SANGALDEEP SINGH

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