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Class 11MathematicsPermutations and CombinationsPermutationsExpert
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In (5)-letter arrangements formed from (9) distinct letters, how many have two particular letters adjacent?

Answer and explanation

Correct answer: (3360)

The two particular letters are selected, choose (3) more from (7), and arrange the block and others in (4!\cdot2!) ways. In partial selection, fix chosen objects first.

Related tags

PermutationsClass11ExpertAdjacent SelectionPermutations And CombinationsMathematicsClass 11 Mcq
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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?
  6. 6If \(\frac{(n+5)!}{(n+3)!}=210\), what is the value of \(n\)?
  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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