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Subjects
Class 11MathematicsPermutations and CombinationsPermutationsExpert
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(7) men and (3) women are to be seated in a row such that the women occupy three consecutive places. How many arrangements are possible?

Answer and explanation

Correct answer: (241920)

Treat the women as one block giving (8!) orders and (3!) internal orders. Use the block method for consecutive objects.

Related tags

PermutationsClass11ExpertBlock MethodPermutations And CombinationsMathematicsClass 11 Mcq
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  2. 2An online form has 4 options for class, 3 options for section, and 5 options for subject. In how many ways can one complete selection of a class, a section, and a subject be made?
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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 \(\frac{22!}{20!\cdot 2!}-\frac{21!}{20!}\)?
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