the number of distinct primes dividing `12!+13!+14!` is -
the number of distinct primes dividing `12!+13!+14!` is -
A. 5
B. 6
C. 7
D. 8
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Correct Answer - A
`12!+13!+14!`
`=2!(1+13+14xx13)`
`=13! (14+14xx13)`
`=12! Xx196`
prime nos are 2,3,4,5,,7,11
total =5
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