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  • In how many ways can you arrange 6 identical red balls and 4 identical blue balls in a row?  Option: 1 <img alt="305" src="https://ent

In how many ways can you arrange 6 identical red balls and 4 identical blue balls in a row?

 

Option: 1

305


Option: 2

210


Option: 3

255


Option: 4

420


Answers (1)

best_answer

Given that,

There are 6 identical red balls and 4 identical blue balls.

The total number of balls is 6 + 4 = 10.

The total number of ways of arranging the red balls is 6!.

The total number of ways of arranging the blue balls is 4!.

So, the total number of ways to arrange the balls is given by,

\begin{aligned} & \frac{10 !}{6 ! 4 !}=\frac{10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2}{6 \times 5 \times 4 \times 3 \times 2 \times 4 \times 3 \times 2} \\ & \frac{10 !}{6 ! 4 !}=210 \end{aligned}

Therefore, the number of ways to arrange the balls is 210.

 

Posted by

vinayak

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