1) Of all the students in a certain dormitory, are first-year students and the rest are second-year students. If of the first-year students have not declared a major and if the fraction of second-year students who have declared a major is 3 times the fraction of first-year students who have declared a major, what fraction of all the students in the dormitory are second-year students who have not declared a major?
2)If p is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3k is a factor of p?
3)If the sequence x1, x2, x3, …, xn, … is such that x1 = 3 and xn+1 = 2xn – 1 for n ≥ 1, then x20 – x19 =
4)If a code word is defined to be a sequence of different letters chosen from the 10 letters A, B, C, D, E, F, G, H, I, and J, what is the ratio of the number of 5-letter code words to the number of 4-letter code words?
Can someone help me out with these questions ?
2)If p is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3k is a factor of p?
3)If the sequence x1, x2, x3, …, xn, … is such that x1 = 3 and xn+1 = 2xn – 1 for n ≥ 1, then x20 – x19 =
4)If a code word is defined to be a sequence of different letters chosen from the 10 letters A, B, C, D, E, F, G, H, I, and J, what is the ratio of the number of 5-letter code words to the number of 4-letter code words?
Can someone help me out with these questions ?
