Podcast
Questions and Answers
How many permutations can be made out of the letters in the word ISLAND taking four letters at a time?
How many permutations can be made out of the letters in the word ISLAND taking four letters at a time?
How many 4 digit numbers can be formed without repeating any digit, from the digits 1, 2, 3, 4 and 6?
How many 4 digit numbers can be formed without repeating any digit, from the digits 1, 2, 3, 4 and 6?
How many permutations can be made out of the letters of the word ENGINEERING?
How many permutations can be made out of the letters of the word ENGINEERING?
How many ways can 3 men and 4 women be seated on a bench if the women are to be together?
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?
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?
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.
