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Organized Counting

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Organized Counting

Permutations and Combinations

31

31

- 126
- 252
- 495
- 3024

31

31

- 4^26
- 456976
- 14950
- 358800

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

31

31

- 8
- 5040
- 40320
- 8^8

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

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

31

31

- 84
- 120
- 504
- 720

31

31

- 84
- 120
- 504
- 720

31

31

- 14950
- 23751
- 358800
- 456976

31

31

- 252
- 2002
- 30240
- 100000