Organized counting
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Organized Counting. Permutations and Combinations. Jones is the Chairman of a committee. In how many ways can a committee of 5 be chosen from 10 people given that Jones must be one of them?. 31. 31. 126 252 495 3024.

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Organized Counting

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Organized counting

Organized Counting

Permutations and Combinations


Organized counting

Jones is the Chairman of a committee. In how many ways can a committee of 5 be chosen from 10 people given that Jones must be one of them?

31

31

  • 126

  • 252

  • 495

  • 3024


Organized counting

A password consists of four different letters of the alphabet. How many different possible passwords are there?

31

31

  • 4^26

  • 456976

  • 14950

  • 358800


Organized counting

A password consists of two letters of the alphabet followed by three digits chosen from 0 to 9. Repeats are allowed. How many different possible passwords are there?

31

31

  • 492804

  • 650000

  • 676000

  • 1757600


An encyclopedia has eight volumes in how many ways can the eight volumes be replaced on the shelf

An encyclopedia has eight volumes. In how many ways can the eight volumes be replaced on the shelf?

31

31

  • 8

  • 5040

  • 40320

  • 8^8


Organized counting

Assuming that any arrangement of letters forms a 'word', how many 'words' of any length can be formed from the letters of the word SQUARE?(No repeating of letters)

31

31

  • 82

  • 720

  • 1956

  • 9331


Organized counting

A restaurant offers 5 choices of appetizer, 10 choices of main meal and 4 choices of dessert. A customer can choose to eat just one course, or two different courses, or all three courses. Assuming all choices are available, how many different possible meals does the restaurant offer?

31

31

  • 329

  • 310

  • 200

  • 19


How many permutations of 3 different digits are there chosen from the ten digits 0 to 9 inclusive

How many permutations of 3 different digits are there, chosen from the ten digits 0 to 9 inclusive?

31

31

  • 84

  • 120

  • 504

  • 720


How many permutations of 3 different digits are there chosen from the ten digits 0 to 9 inclusive1

How many permutations of 3 different digits are there, chosen from the ten digits 0 to 9 inclusive?

31

31

  • 84

  • 120

  • 504

  • 720


Organized counting

How many permutations of 4 different letters are there, chosen from the twenty six letters of the alphabet (repetition is not allowed)?

31

31

  • 14950

  • 23751

  • 358800

  • 456976


How many different committees of 5 people can be chosen from 10 people

How many different committees of 5 people can be chosen from 10 people?

31

31

  • 252

  • 2002

  • 30240

  • 100000


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