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Given four flags of different colours, how many different signals can be generated if each signal requires to use of 3 flags. One below the other ?

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(i) A mobile phone has a passcode of 6 digits. What is the maximum number of attempts one makes to retrieve the passed. (ii) Given four flags of different colours, how many different signals can be generated if each signal requires the use three flags, One below the other?

Given 5 flags of different colours, how many different signals can be generated if each signal requires the use of 2 flags, one below the other?

Given 4 flags of different colours, how many different signals can be generated, if a signal requires the use of 2 flags one below the other?

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How many different signals can be generated from 6 flags of different colours if each signal makes use of all the flags at a time, placed one below the other?

Find the number of different signals that can be generated by arranging at least 2 flags in order (one below the other) on a vertical staff, if five different flags are available.

PREMIERS PUBLISHERS-COMBINATORICS AND MATHEMATICAL INDUCTION-EXERCISE 4.1
  1. In how many ways 5 persons can be seated in a row ?

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  2. A mobile has a pass code of distinct digits. What is the maximum nu...

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  3. Given four flags of different colours, how many different signals can...

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  4. Four children are running a race . (i) In how many ways can the...

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  5. Four children are running a race . (i) In how many ways can the...

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  6. Count the number of three - digit numbers which can be formed from t...

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  7. Count the number of three - digit numbers which can be formed from t...

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  8. How many three - digit numbers are there with 3 in the unit place ? ...

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  9. How many three - digit numbers are there with 3 in the unit place ? ...

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  10. How many numbers are three between 100 and 500 with the digits 0,1...

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  11. How many numbers are three between 100 and 500 with the digits 0,1...

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  12. How many three-digit odd numbers can be formed by using the digits 0...

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  13. How many three-digit odd numbers can be formed by using the digits 0...

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  14. Count the numbers between 999 and 10,000 subject to the condition that...

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  15. Count the numbers between 999 and 10,000 subject to the condition that...

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  16. Count the numbers between 999 and 10,000 subject to the condition that...

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  17. How many three- digit numbers, which are divisible by 5, can be for...

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  18. How many three- digit numbers, which are divisible by 5, can be for...

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  19. To travel from a place A to place B, there are two different bus rout...

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  20. How many numbers are there between 1 and 1000 (both inclusive ) whi...

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