Questions and Answers
How many permutations can be made out of the letters in the word ISLAND taking four letters at a time?
360
How many 4 digit numbers can be formed without repeating any digit, from the digits 1, 2, 3, 4 and 6?
120
How many permutations can be made out of the letters of the word ENGINEERING?
277,200
How many ways can 3 men and 4 women be seated on a bench if the women are to be together?
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In how many ways can 5 people line up to pay their electric bills?
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How many ways can 7 people be seated at a round table?
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Study Notes
Permutations and Combinations
- Permutations of 4 letters from the word ISLAND can be made in 360 ways.
- 4 digit numbers can be formed without repeating any digit from the digits 1, 2, 3, 4, and 6 in 120 ways.
- Permutations of letters in the word ENGINEERING can be made in 277,200 ways.
Seating Arrangements
- 3 men and 4 women can be seated on a bench where women are together in 720 ways.
- 5 people can line up to pay their electric bills in 120 ways.
- 5 people can line up to pay their electric bills where two particular persons refuse to follow each other in 60 ways.
Circular Arrangements
- 7 people can be seated at a round table in 360 ways.
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Description
Practice problems on permutations and combinations, including seating arrangements and forming numbers. Calculate the number of ways to arrange objects in different scenarios.
