Solved papers for JEE Main & Advanced AIEEE Solved Paper-2004

done AIEEE Solved Paper-2004 Total Questions - 4

• question_answer1) How many ways are there to arrange the letters in the word GARDEN with the vowels in alphabetical order?
  A)
  120   
  done clear
  B)
                         240        
  done clear
  C)
         360        
  done clear
  D)
         480
  done clear
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• question_answer2) The number of ways of distributing 8 identical balls in 3 distinct boxes, so that none of the boxes is empty, is
  A)
  5      
  done clear
  B)
                         21          
  done clear
  C)
                         \[{{3}^{8}}\]     
  done clear
  D)
         \[^{8}{{C}_{3}}\]
  done clear
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• question_answer3) The coefficient of the middle term in the binomial expansion in powers of\[x\]of\[{{(1+\alpha x)}^{4}}\] and of\[{{(1-ax)}^{6}}\]is the same, if a equals
  A)
  \[-\frac{5}{3}\]                 
  done clear
  B)
         \[\frac{10}{3}\]                
  done clear
  C)
         \[-\frac{3}{10}\]               
  done clear
  D)
         \[\frac{3}{5}\]
  done clear
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• question_answer4) The coefficient of\[{{x}^{n}}\]in the expansion of \[(1+x){{(1-x)}^{n}}\]is
  A)
  \[(n-1)\]              
  done clear
  B)
         \[{{(-1)}^{n}}(1-n)\]       
  done clear
  C)
         \[{{(-1)}^{n-1}}{{(n-1)}^{2}}\]
  done clear
  D)
         \[{{(-1)}^{n-1}}n\]
  done clear
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