**MCS013: Discrete Mathematics** Year: 2005 TEE: December Time 2 Full Marks 50 Note: Question 1 is compulsory. Answer any three from the rest.
Q.1(e): Determine all the integer solutions to x_{1 }+ x_{2 }+ x_{3 }+ x_{4 }= 9, where x_{i} = > 1, i = 1, 2, 3, 4
| **Q.2(a):** A sequence of ten bits (0's and 1's) is randomly generated. What is the probability that at least one of the bits is 0 ?: [5]
**Q.2(b):** Find the number of permutation of the word ATTENDANT: [3]
**Q.2(c):** Write the contrapositive of the statement: 'If x is a positive real number, there is a number y such that y^{2} = x.': [2]
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