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Subjects
Class 11MathematicsPermutations and CombinationsPermutationsMedium
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In how many ways can (7) distinct files be placed one each in (9) distinct shelves?

Answer and explanation

Correct answer: (181440)

The ordered placement of (7) files in (9) distinct places is (^{9}P_7=181440). In exams, distinct shelves make assignment a permutation.

Related tags

PermutationsAssignmentDistinct PlacesPermutations And CombinationsMathematicsClass 11 Mcq
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  1. 1A menu offers 5 types of snacks and 4 types of drinks. In how many ways can one snack and one drink be chosen?
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  3. 3How many (3)-digit numbers can be formed from digits (1,3,5,7,9) without repetition?
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  5. 5Three distinct prizes are to be awarded to seven students. No student can receive more than one prize. How many ways are possible?
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  7. 7What is the value of \(\frac{21!}{19!\cdot2!}-\frac{18!}{16!\cdot2!}\)?
  8. 8If \(\frac{(n+1)!}{(n-1)!}-\frac{n!}{(n-2)!}=24\), what is the value of \(n\)?
  9. 9What is the value of \(\frac{22!}{20!\cdot 2!}-\frac{21!}{20!}\)?
  10. 10If (5) different books are arranged in a row, how many ways are possible?
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