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Maths Puzzle
Five Persons namely,Yasin,Rasheed,Ali and Rehman are to be seated in five out of the six seats numbered from 1 to 6. The following table provides information about the serial numbers of the seats (given in the table under their name) on which each of the mentioned friends can possibly sit.
Names Yasir Arafat
Seat No 1 2 or 3
Rasheed Ali
2,3 or 4 4 or 5
Rehman
5 or 6
If one of the seats numbered 2 or 4 is unoccupied, then the number of different ways five mentioned persons can be seated is
Read Solution (Total 3)
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- By 3 different ways, persons can be seated.
1st way : Yasir-1; Arafat-2; Rasheed-3; Ali-5; Rehman-6; Unoccupied-4;
2nd way : Yasir-1; Arafat-3; Rasheed-4; Ali-5; Rehman-6; Unoccupied-2;
3rd way : Yasir-1; Arafat-3; Rasheed-2; Ali-5; Rehman-6; Unoccupied-4; - 12 years agoHelpfull: Yes(3) No(3)
- By 3 different ways, the person can be seated..
- 12 years agoHelpfull: Yes(0) No(3)
- Except for seats numbered 2 or 4 all other seats numbered 1,3,5,6 will have to be occupied.
Yasin will have to sit at seat number 1, as this seat will have to remain occupied in all sitting arrangements as no other person has this option.
Rehman will have to sit only at seat number 6, as this seat will have to remain occupied in all sitting arrangements and no other person has this option.
When Rehman sit on Seat no. 6, then Ali will have to sit only on Seat No. 5 as Arafat and Rasheed do not have this option.
Seat No. 4 can remain unoccupied in following 2 ways. ( name - seat no.)
(1): Yasir-1; Arafat-2; Rasheed-3; Ali-5; Rehman-6; Unoccupied-4
(2): Yasir-1; Arafat-3; Rasheed-2; Ali-5; Rehman-6; Unoccupied-4
Seat No. 2 can remain unoccupied in the following way. ( name - seat no.)
Yasir-1; Arafat-3; Rasheed-4; Ali-5; Rehman-6; Unoccupied-2
- 12 years agoHelpfull: Yes(0) No(1)
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