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If (a!=5040), what is the value of ((a-4)!)?

Answer and explanation

Correct answer: 6

Since \(5040=7!\), we get \(a=7\). Therefore, \((a-4)!=(7-4)!=3!=6\). The option 24, which is \(4!\), may result from incorrectly taking \(a-4\) as 4. Exam tip: first determine the variable from the given factorial, then substitute it into the required expression.

Related tags

Factorial NotationPermutations And CombinationsClass 11MathematicsSubstitutionClass 11 Mcq

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