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mr & mrs. smith invite their 9 frnds wd spouses. while having a group pic smith couple decided not to come together in pic. how many ways of arrangmnt of a pic.
options-
20!
19!+18!
18*19!
2*19!
Read Solution (Total 6)
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- Mr and Mrs smith never be together,so out of 20(both of them) 19 can be any place
so total=19!
20 because their invitees are with their spouses.
also 1 of them can stand with others so 18 places.
so total is 18*19!(ans). - 12 years agoHelpfull: Yes(14) No(2)
- !!!!!!!!!!!!!!!!!!
these are 18 friends
which can be arranged by 18!
there are 19 places around them to stand.
therefore mr mrs smith can be arranged by 19P2= 19x18
total=19x18x18!=19!x18 - 12 years agoHelpfull: Yes(8) No(1)
- 18*19!
total arrangements 20!
total arrangement where mr and mrs smith come 2getther 19!2!
so subtract it 20!-19!2! - 12 years agoHelpfull: Yes(3) No(2)
- ans is 18*19 !
- 12 years agoHelpfull: Yes(3) No(0)
- 9 frnds with spouses(18) + mr.smith= 19! ways
or
9 frnds with spouses(18) + mrs.smith= 19! ways
=2*19! ways - 12 years agoHelpfull: Yes(1) No(11)
- lets always together then=19!*2!
now;
20!-19!*2!=19!*(20-2) - 12 years agoHelpfull: Yes(1) No(1)
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