Discrete Mathematics - Test Questions I
Question 1 - Question: From a class of 32 students, 4 are to be chosen for a competition. In how many ways can this be done? Answer: We are to select 4 students from 32. This selection can done ..
Question 1 - Question: From a class of 32 students, 4 are to be chosen for a competition. In how many ways can this be done? Answer: We are to select 4 students from 32. This selection can done ..Conclusion
We have seen the application of matrices and determinants in solving system of linear equation with three unknown variables. Matrices and determinants are also widely used in solving large system of linear equation. Some of these methods are Gauss-elimination method, Gauss-Jordan method etc. They a..
Question 1
Question: Find n. Answer: i) ii..
Question: Find n. Answer: i) ii..Question 4
Question: When n = 5 and r = 2, find the values of Answer: i) ii) ..
Question: When n = 5 and r = 2, find the values of Answer: i) ii) ..Question 7
Question: Answer: ..
Question: Answer: ..Question 9
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Question: Answer: ..Question 2
Question: Answer: i. The value of C(n, 25) = C(25, 25) = 1 ii..
Question: Answer: i. The value of C(n, 25) = C(25, 25) = 1 ii..Question 4
Question: Answer: Aliter: ..
Question: Answer: Aliter: ..Question 1
Question: Answer: As n represents all positive integers, we have Multiplying the above terms of both sides respectively, we get Multiplying both sides of inequality by n!, we get ..
Question: Answer: As n represents all positive integers, we have Multiplying the above terms of both sides respectively, we get Multiplying both sides of inequality by n!, we get ..Question 3
Question: Answer: ..
Question: Answer: .. Result
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