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Permutation and Combination
20 passengers are to travel by a doubled decked bus which can accommodate 13 in the upper deck and 7 in the lower deck. The number of ways that they can be distributed if 5 refuse to sit in the upper deck and 8 refuse to sit in the lower deck is:plz solve it asap..
Read Solution (Total 9)
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- people refused to sit on upperdeck=5
" " " " " lowerdeck=8
other people=7
first place the 8 members on the upperdeck remaining(13-8=5 places on upperdeck)can be selected in 7c5 ways
place the remaining people on lower deck(7)
number of ways=7c5=21 - 9 years agoHelpfull: Yes(5) No(1)
- 20 person are total. There are 5 person refused to sit in upper deck. So we have 15c13(as there 13 can accomodate)
Similarly 8 person refused to sit in lower deck , so 12c7.
Total no. Of ways =15c13*12c7. - 9 years agoHelpfull: Yes(4) No(6)
- refused to sit on upperdeck --->5
refused to sit on lowerdeck --->8
total people remaining to arrange is = 20-13=7
remaining place in upper deck = 5
therefore, no. of ways possible= 7c5 = 21
remaining place in lower deck = 2
therefore, no. of ways possible= 7c2 = 21,also
no. of ways possible is 21.
- 9 years agoHelpfull: Yes(4) No(0)
- Upper desk remain 5 and lower desk 2...
So total 7.....
7*6*5*4*3*2*1 - 9 years agoHelpfull: Yes(1) No(0)
- 13860
12c7 x 15c13 - 9 years agoHelpfull: Yes(0) No(5)
- 5!*2*7*13 = 21840
- 9 years agoHelpfull: Yes(0) No(1)
- 0.33 is correct
- 9 years agoHelpfull: Yes(0) No(4)
- 15C13*12C7=83160
- 9 years agoHelpfull: Yes(0) No(3)
- 7c5*13!*7!
- 9 years agoHelpfull: Yes(0) No(0)
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