CBSE Class 11-science Answered
In how many ways can 5 girls and 3 boys be seated in a row so that no two boys are together?
Asked by Topperlearning User | 13 Sep, 2016, 02:58: AM
Let us first seat the 5 girls. This can be done in 5! Ways. For each such arrangement, the three boys can be seated only at the cross marked places.
![](https://images.topperlearning.com/topper/questions/9630_image002.gif)
![](https://images.topperlearning.com/topper/questions/9630_image002.gif)
![](https://images.topperlearning.com/topper/questions/9630_image002.gif)
![](https://images.topperlearning.com/topper/questions/9630_image002.gif)
![](https://images.topperlearning.com/topper/questions/9630_image002.gif)
![](https://images.topperlearning.com/topper/questions/9630_image002.gif)
There are 6 cross marked place and the three boys can be seated in
ways. Hence, by multiplication principle, the total numbers of ways=5!![Double click to edit](https://images.topperlearning.com/topper/questions/9630_4e29b3167bcf7298bedfe64cdf6b332f.png)
=14400
![](https://images.topperlearning.com/topper/questions/9630_image003.gif)
![Double click to edit](https://images.topperlearning.com/topper/questions/9630_4e29b3167bcf7298bedfe64cdf6b332f.png)
![Double click to edit](https://images.topperlearning.com/topper/questions/9630_d5a9e99152c6b180b95bcbff17782031.png)
Answered by | 13 Sep, 2016, 04:58: AM
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