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(i) Find the number of strings of length...

(i) Find the number of strings of length , which can be firmed using the letters of the word BIRD , without repetition of the letters.
(ii) How many strings of length 5 cm be formed out of the letters of the word "PRIME" taking all the letters at a time without repetition.

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The correct Answer is:
(i) 24,(ii) 120
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FULL MARKS-COMBINATORICS AND MATHEMATICAL INDUCTION-ADDITIONAL QUESTIONS
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  6. How many automobile license plates can be made, if each plate contains...

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  9. If ""^(n-1)P(3): ""^(n)P(4)=1:9 find n.

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  12. How many 3-digit numbers can be made using digit 1,2,3,4,6,7 if no dig...

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  13. Find the number of 4-digit numbers that can be formed using the digits...

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  14. Iff ""^(5)P(r)=""^(6)P(r-1) find r.

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  15. How many words, with or without meaning , can be made from the letters...

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  16. A group consists of 4 girls and 7 boys. In how many ways can a team of...

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  17. A committee of 6 is to be choosen from 10 men and 7 women so as to con...

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  18. Using the digits 1,2,3,4,5,6,7 a number of 4 different digits is forme...

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  19. If ""^(22)P(r+1):^(20)P(r+2)=11:52, find r.

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  20. If ""^(nP(r)=""^(n)P(r+1) and ""^(n)C(r)=""^(n)C(r-1) find n and r.

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