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Answers by sid1221

8 votes
2
Generating Function-Rosen
Find the coefficient of x10 $\left ( 1+x^{2}+x^{4}+........ \right )\left ( 1+x^{4}+x^{8}+..... \right )\left ( 1+x^{6}+x^{12}..... \right )$
Find the coefficient of x10$\left ( 1+x^{2}+x^{4}+........ \right )\left ( 1+x^{4}+x^{8}+..... \right )\left ( 1+x^{6}+x^{12}..... \right )$
0 votes
3
Circular Permutation
A class is composed of 2 brothers and 6 other boys. In how many ways can all the boys be seated at a round table so that the two brothers are not seated together? a. 3000 b.3600 c. 2050 d. 2600
A class is composed of 2 brothers and 6 other boys. In how many ways can all the boys beseated at a round table so that the two brothers are not seated together?a. 3000b....
2 votes
5
Counting
A student is allowed to select at most n books from a collection of (2n + 1) books. If the total number of ways in which he can select at least one book is 63, find the value of n. (a) 4 (b) 3 (c) 5 (d) 6
A student is allowed to select at most n books from a collection of (2n + 1) books. If the totalnumber of ways in which he can select at least one book is 63, find the va...
1 votes
6
counting
A man and a woman appear in an interview for two vacancies for the same post. The probability of a man’s selection is 1/4 and that of a woman’s selection is 1/3. What is the probability that both of them will be selected? (a) 1/12 (b) 1/3 (c) 2/5 (d) 3/7
A man and a woman appear in an interview for two vacancies for the same post. The probabilityof a man’s selection is 1/4 and that of a woman’s selection is 1/3. What ...