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20 passenger are to travelled by double decked bus which can accomodate 13 in upper deck and 7 in lower deck.the no ways that they can be distributed if 5 sit to refuse in upper deck and 8 refuse to sit n lower deck....
Read Solution (Total 7)
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- ans is 13C8x7C5x7!.
- 11 years agoHelpfull: Yes(7) No(0)
- 7c5*2c2
upper deck
********----- =>7c5(since 8 who refused to sit on lower deck will desinately sit on upper deck & out of left out 12 5 will never sit on upper deck)
lower deck
*****--2c2 =>(since 5 will definately sit in lower deck who refused to sit on upper deck so left out 2 can fill 2 seats in 1 way only ) - 11 years agoHelpfull: Yes(3) No(1)
- 8 mem refuse to sit in lower deck they will sit upper deck in 8! ways,
the 5 mem who refuse to sit in upper deck will sit lower deck in 5! ways,
till now 13 sit are filled remaining 7 mem are filled in 7c5 ways in upper deck and 2 ways in lower deck so,8!*7c5+2!*5! if wrong correct me....... - 11 years agoHelpfull: Yes(1) No(3)
- 7c2 or 7c5 i. e . 21
- 11 years agoHelpfull: Yes(1) No(2)
- @sujitha maddula we have to distribute men not arrange them..
- 11 years agoHelpfull: Yes(0) No(1)
- i think 7c2 or 7C5(both are same no?)
- 10 years agoHelpfull: Yes(0) No(1)
- As we know they should be distributed (not arranged) so, 5 in lower and 8 in upper are fixed. remaining 7 can be distributed as 7C5*7C2=441. If i am right!
- 8 years agoHelpfull: Yes(0) No(1)
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