A) \[7!\]
B) \[9!\]
C) \[6!\]
D) \[5!\]
Correct Answer: D
Solution :
Given, \[({{49}^{2}}-4)({{49}^{3}}-49)\] \[=[{{(49)}^{2}}-{{(2)}^{2}}][{{(49)}^{2}}-1].49\] \[=(49+2)(49-2)(49+1)(49-1).49\] \[=51.47.50.48.49\] \[=(51.50.49.48.47)\] Which is the product of the consecutive integers and hence it divisible by 5!You need to login to perform this action.
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