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Mr Mrs smith have invited 9 of their friends and their spouses for a party at the waikiki beach resort. They stand for a group photograph. If Mr smith never stands next to Mrs smith(as he says they are always together otherwise ), how many ways the group can be arranged in a row for the photograph?
a)20!
b)19!18!
c)18*19!
d)2*19!
Read Solution (Total 1)
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- C) 18*19!
total 20 persons are there..
we can arrange them in 20!ways
consider Mr.& Mrs.smith take them as a unit so 18+1=19
19!2! cases are there when they are together which is not allowed here.
so possible arrangements = 20!-(19!2!)= 19!(20-2) = 18*19! - 12 years agoHelpfull: Yes(122) No(6)
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