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there are 8 flowers to be arranged in garland in which 4 flowers are not to be seperated find probability of arranging them?
a)960b)260c)1320d)595
i dint exactly rememberd options but dey wer some wat like this
Read Solution (Total 14)
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- 4!(5!)
4 flowers always come together so cinsider it as 1 flower and remaining four total 5 arrange it in 5! Ways and four flowers which always come together arrange in 4! Ways.
Total no. Of ways multiply them 5!*4! - 11 years agoHelpfull: Yes(45) No(9)
- 4 flowers which are always together can be considered as one SET,
Therefore we have to arrange one SET ( 4 flowers ) and 4 other flowers into a garland.
Which means, 5 things to be arranged in a garland.
(5-1)!
And the SET of flowers can arrange themselves within each other in 4! ways.
Therefore
(5-1)!*(4!)
But, Garland, looked from front or behind does not matter. Therefore the clockwise and anti clockwise observation does not make difference.
Therefore
(5-1)! * (4!)/ 2
= 288. - 11 years agoHelpfull: Yes(24) No(2)
- 4 flowers always come together, so consider it as 1 and remaining four makes total 5. Now, for a circular arrangement if clockwise and anticlockwise arrangements are different, then from formula we get 1/2(n-1)! = 1/2 * 4!= 12. For each of these arrangements, those 4 flowers together make 4! arrangements, so its total of 12*4!=288
- 11 years agoHelpfull: Yes(14) No(1)
- Options are incorrect:
5! * 4!= 120*24=2880 ans. - 11 years agoHelpfull: Yes(10) No(2)
- totally 8 flowers .....
4 flowers are always joined so it is consider us 1 flower
so now totally 5 flowers
so 4!*5! - 11 years agoHelpfull: Yes(3) No(1)
- the number of ways to arrange 8 flowers are 8! , i.e n(s) = 8!
E = event of ways arranging 8 flowers in which 4 flowers are always together
i.e four flowers as together 1 & rest 4 , so total 5 flowers arrangement
= 5! * 4! = 2880
probability = n(E) / n(s)
= 2880 / 40320 = 1/14 - 11 years agoHelpfull: Yes(3) No(2)
- when we talk about flower arrangement in garlend then total no of ways=(n-1)!/2.
since here 4flowrs are always together then consider it as 1 then no of ways =
(5-1)!/2,
and 4flowers itshelf can be arrange in 4! ways . so the correct ans is=
((5-1)!/2)*4!=288 is correct ans. - 10 years agoHelpfull: Yes(3) No(0)
- 4!5!
the flowers to be together are considered as one,so the total ways to arrange 5!
and the 4 flowers considered one will also arrange so multiply by 4! - 11 years agoHelpfull: Yes(1) No(1)
- in question probability is asking ,so probability should be less then 1
- 11 years agoHelpfull: Yes(1) No(1)
- for flowers arrangement (n-1)!. so 4 flowers together as one unit and remaining 4 flowers total (5-1)! and 4 flowers can be arranged themselves as 4! waya..
total (5-1)! * 4! ways==576 - 11 years agoHelpfull: Yes(1) No(2)
- Ans is not match 5!*4!=2880
- 11 years agoHelpfull: Yes(0) No(0)
- @all----> in question probability is asked
- 11 years agoHelpfull: Yes(0) No(0)
- probability=(5!*4!)/(8!)
- 11 years agoHelpfull: Yes(0) No(2)
- 4!*4!/2=288
- 11 years agoHelpfull: Yes(0) No(1)
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