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What is the value of \(\frac{3!+2!+1!}{0!}\)?

Answer and explanation

Correct answer: 9

\(3!=6\), \(2!=2\), and \(1!=1\). Therefore, the numerator is \(6+2+1=9\). Also, \(0!=1\), so \(\frac{9}{1}=9\). Option 8 may result from incorrectly taking \(1!\) as 0. Exam tip: Always remember that both \(0!\) and \(1!\) are equal to 1.

Related tags

Factorial NotationZero FactorialFactorial EvaluationPermutations And CombinationsClass 11 MathematicsMathematicsClass 11 Mcq

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