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Gaps in Permutation | TOMATO Objective Problem 145

Problem - Gaps in Permutation (ISI Entrance)


Find in how many ways can letters of the word PESSIMISTIC be arranged such that no two S and no two I can come together along with S and I cannot come together.

  • 0
  • 20
  • 120
  • 2400

Key Concepts


Permutations

Combinatorics

Number Theory

Check the Answer


Answer: 2400

ISI Entrance, TOMATO Objective, Problem 145

Combinatorics by Brualdi.

Try with Hints


Arranging PESSIMISTIC generally in

\frac{11!}{3!3!} ways

The letters P E M T C can be arranged in 5!=120 ways

Remaining 6 slots with six letters 3 S and 3 I can be arranged in \frac{6!}{3!3!}=20 ways. Then number of ways =2400

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Problem - Gaps in Permutation (ISI Entrance)


Find in how many ways can letters of the word PESSIMISTIC be arranged such that no two S and no two I can come together along with S and I cannot come together.

  • 0
  • 20
  • 120
  • 2400

Key Concepts


Permutations

Combinatorics

Number Theory

Check the Answer


Answer: 2400

ISI Entrance, TOMATO Objective, Problem 145

Combinatorics by Brualdi.

Try with Hints


Arranging PESSIMISTIC generally in

\frac{11!}{3!3!} ways

The letters P E M T C can be arranged in 5!=120 ways

Remaining 6 slots with six letters 3 S and 3 I can be arranged in \frac{6!}{3!3!}=20 ways. Then number of ways =2400

Subscribe to Cheenta at Youtube


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