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Subjects
Class 11MathematicsPermutations and CombinationsFactorial notationHard
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What is the value of \(\frac{10!}{6!\cdot4!}-\frac{9!}{6!\cdot3!}\)?

Answer and explanation

Correct answer: (84)

The first term is (210) and the second is (84), so the difference is (126); the correct option should be (126). Check the final subtraction before choosing an option.

Related tags

PermutationsCombinationsFactorialHardFactorial NotationPermutations And CombinationsMathematicsClass 11 Mcq
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10 more MCQs
  1. 1What is the value of 5!?
  2. 2What is the value of 0!?
  3. 3What is the value of (1!+3!)?
  4. 4What is the simplified value of \(\frac{6!}{4!}\)?
  5. 5What is the value of (\frac{7!}{5!,2!})?
  6. 6Which form can represent (n!)?
  7. 7What is the value of (4!+2!)?
  8. 8What is the value of 8!/7!?
  9. 9How can (9\times8\times7) be written in factorial form?
  10. 10For a positive integer \(n\), which of the following statements gives the correct definition of \(n!\)?
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