Question

A Company has 11 software engineers and 7 civil engineers. In how many ways can they be seated in a row so that civil engineers do not sit together









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Answer 1

Answer:

Total number of engineers =11+7=18. Now we will find out the total number of ways in which these 18 engineers can be arranged so that all the 7 civil engineers will always sit together. For this, group all the 7 civil engineers and consider as a single civil engineer. Hence, we can take total number of engineers as 12.

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Answer 2

Answer: 2 represents civil  engineers and 1 represents  software  engineers

1          2      1  

2        1        2

1        1          

1         2

2        1

1          1

1          2

2         1