Asked by Ande2
In how many ways can 5 boys and 4 girls be arranged on a bench if
(a) Boys and girls are in a separate group
(b) Mary and Phillip wish to stay together
(C) There is no restriction
(d) John and Daniel wish to stay together
Answers
                    Answered by
            Reiny
            
    a) the boys could be on the left as a group or on the right as a group
number of ways = 2(5!)(4!) = ...
b) they can only be together when they stand next to each other near the
middly
number of ways = 2(4!)(1)(1)(3!) = ...
c) no restriction.... number of ways = 9!
d) you do it, let me know how you did it.
    
number of ways = 2(5!)(4!) = ...
b) they can only be together when they stand next to each other near the
middly
number of ways = 2(4!)(1)(1)(3!) = ...
c) no restriction.... number of ways = 9!
d) you do it, let me know how you did it.
                    Answered by
            Anonymous
            
    I would assume that case b) doesn't depend on case a), in which case Mary and Phillip can be considered as one person (with 2 ways to position them relative to each other), so:
2(8!) ways.
    
2(8!) ways.
                    Answered by
            Praveel 
            
    8c8×2
    
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