eleven books,consisting of 5 engineering books , 4 maths books,2 physics books are arranged in a shelf at random .what is the probability that books of each kind are all together?

• 5!*4!*2!*3!/11!...............3! for 3 units can be arranged in 3! ways by considering each as one unit
• 10 years agoHelpfull: Yes(47) No(4)
• 3 lots can be arranged in 5!x3!x4!x2!
  total arrangements possible= 11!
  hence probability of the same=(5!x3!x4!x2!)/11!=0.001443
• 10 years agoHelpfull: Yes(15) No(0)
• (5/11)*(4/11)*(2/11)=40/1331
• 10 years agoHelpfull: Yes(10) No(5)
• (5!*4!*2!)(3!)/11! so answer is 1/1155
• 10 years agoHelpfull: Yes(7) No(0)
• 11c2*11c4*11c2
• 10 years agoHelpfull: Yes(2) No(1)
• mmmmmmmmmkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk
• 10 years agoHelpfull: Yes(2) No(16)
• 3!*5!*4!*2!=34560
• 10 years agoHelpfull: Yes(1) No(5)
• 1/960
  3!/5!*4!*2!
• 10 years agoHelpfull: Yes(1) No(1)
• total samples is 11!
  and possibilities 4!*5!*2!*3!
  probability 40/1331
• 10 years agoHelpfull: Yes(1) No(0)
• consider the set of same books as 1.
  we have 3 set than can be arranged in 3! ways.
  individually it can be arranged in 5!,4!,2!
  ans=34560
• 10 years agoHelpfull: Yes(1) No(0)
• 11c3/4!5!2!
• 10 years agoHelpfull: Yes(0) No(1)
• 11*10*9/3*2
  
• 10 years agoHelpfull: Yes(0) No(0)
• 5!*4!*2!*3!/11!...............3! for 3 units can be arranged in 3! ways by considering each as one unit
  
• 10 years agoHelpfull: Yes(0) No(0)
• I think the concept of grouping will be used.
  ans is 11!/5! 4! 2! 3!
• 10 years agoHelpfull: Yes(0) No(0)
• ..."5 engineering books"........."4 maths".........."2 physics"...
  
  all three sets are all together.
  these three sets are arranged in 3! ways.
• 9 years agoHelpfull: Yes(0) No(0)
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• 7 years agoHelpfull: Yes(0) No(0)