Let p be the number of permutations of AAAABBBC in which As or Bs | Filo
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Class 11

Math

Algebra

Permutations and Combinations

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Let be the number of permutations of AAAABBBC in which As or Bs occur together, then is

  1. divisible by 6
  2. even number
  3. divisible by 11
  4. divisible by 3
Correct Answer: Option(b)(c)
Solution: 1) AAAA as one unit; BBB, C separate 
The number of permutations = 
2) BBB as one unit; AAAA, C separate
The number of permutations = 
3) AAAA, BBB as 2 units and C separate
The number of permutations  


Hence, options B and C are correct.
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