Question

# In how many different ways a grandfather along with two of his grandsons and four grand daughters can be seated in a line for a photograph so that he is always in the middle and the two grandsons are never adjacent to each other.

Solution

## As there are $$6$$ descendants they can be arranged in $$6!$$ ways Now subtracting in how many ways we can arrange the boys together $$=5!\times2!$$ ways$$.$$Adding all the ways in the boys are together, but in the middle two possibilities$$=4!\times2!$$$$\Longrightarrow 6!-(5!\times2!)+(4!\times2!)=528$$Maths

Suggest Corrections

0

Similar questions
View More

People also searched for
View More