(15, 3)! is defined as the product of 3 consecutive numbers starting from 15. If H is the HCF of (15, 3)! and 3!, then what can be said about H?
(15, 3)! is defined as the product of 3 consecutive numbers starting from 15. If H is the HCF of (15, 3)! and 3!, then what can be said about H?
Option 1 -
H = 15!
Option 2 -
H = 3!
Option 3 -
H3 = 3!
Option 4 -
H3 = 45
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1 Answer
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Correct Option - 2
Detailed Solution:(15, 3)! = Product of 3 consecutive natural numbers starting from 15, which is at least divisible by 3!
Hence, H = 3!
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