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Question

The number of distinct primes dividing 12!+13!+14! is 
  1. 5    
  2. 6     
  3. 7     
  4. 8    


Solution

The correct option is A 5    
12!+13!+14!
=12!(1+13+13×14)
=12!(142)
=12!×22×72
Distinct prime factors of the given expression are 2, 3, 5, 7, 11

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