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Permutation and CombinationQuestion and Answers: Page 9
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Question and Answers Forum |
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Permutation and CombinationQuestion and Answers: Page 9 |
| Given a 10−digit number X = 1345789026 How many 10−digit number that can be made using every digit from X, with condition: If a number n is located in k^(th) position of X, then the new created number must not contain number n in k^(th) position Example: • Number 1 is located in 1^(st) position of X, hence 1234567890 is not valid, but 2134567890 is valid • Number 5 and 0 are located in 4^(th) and 8^(th) position of X, hence 9435162087 is not valid, but 9431506287 is valid. • 1345026789 is not valid • and so on... |
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| Mr.A wants to deliver 7 letters to his 7 friends so that each gets 1 letter. All of the letters are written of the addresses of his 7 friends. Find the probbility that, 3 of his friends receive the correct letters and the remaining 4 receive the wrong ones. |
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| How do you solve f(3) when f(-1) = -1 and f(0) =1 and f(x) =f(x-1)-2f(x-2)? |
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| Combination A committee of 8 people is to be formed from 7 women and 5 men. In how many ways can the members be chosen so as to include at least 3 men? |
| in how many ways can 10 people be seated in a round table if 3 persons want to seat consecutively? |
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| Permutation How many ways can 10 men and 7 women sit at a round table so that no 2 women are next to each other? 😎😎😎😎 |
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| Combinatorics What is the number of ways of distributing 9 different objects among 5 persons such that each gets at least 1? |
| Binomial theorem Given that the coefficient of x^2 in the expansion of (1+ax) (3-2 x) ^5 is 1440, what is the value of the constant a? |
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| How many ways can this be done if you distribute 25 identical pieces of candy among five children? |
| Eight dice are tossed. If the dice are identical in appearance , how many different−looking (distinguishable) occurrences are there? |
| How many ways can 15 basketball players be assigned to Team A, Team B, and Team C with 5 players on each team? |
| The digits 1, 2, 3, 4, 5, 6, and 7 are written on separate cards. Three are drawn and placed in order of drawing. In how many ways can numbers greater than 500 be formed? |
| In how many ways can 5 men, 4 women, and 3 children be arranged in a row of 12 seats if the children sit together? |
| The numbers 1,2,3,4,5,6,7,8,9 and 10 are written around a circle in arbitrary order. We add all the numbers with their neighbours, we get 10 sums that way. What is the maximum possible value of the smallest of these sums? |
| in how many ways can n men and n women be arranged in a row such that men and women alternate? |
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| How many 6−letter words in which at least one letter appears more than once ,can be made from the letters in the word FLIGHT |
| How many rearrangements are there of the letters in the world (i) ENGINEERING (ii) MATHEMATICAL |