Internet - All things Internet

Topic A group of 10 students participated in the Green Summer campaign. The school wants to select a task force with at least two of these students. How many ways…

Topic Uncle Thanh wanted to buy a gift for his son on the occasion of his birthday, so he went to a toy store. I plan to choose 1 out…

Topic Assume status in a tree species is determined by the cumulative effect of n pairs of alleles that independently segregate \({A_1}{a_1},A{ & _2}{a_2},…,{A_n}{a_n} \). Let \({F_1}\) tree heterozygous for…

To participate in a baking contest, Tien makes 12 cakes of different colors and chooses an even positive number of cakes to put in a display box. Ask Tien how…

Topic Given the set \(A = \left\{ {{x_1};{x_2};{x_3};…;{x_n}} \right\}\) has n elements. Calculate the number of subsets of A Solution method – See details The number of subsets of a…

Topic Let q be another real number 1. Prove: \(1 + q + {q^2} + … + {q^{n – 1}} = \frac{{1 – {q^n}}}{{ 1 – q}}\) for all \(n…

Topic Prove that for all \(n \in \mathbb{N}*\), we have: a) \({13^n} – 1\) is divisible by 6. b) \({4^n} + 15n – 1\) is divisible by 9. Solution method…

Topic Prove \({n^n} > {(n + 1)^{n – 1}}\) for all \(n \in \mathbb{N}*,n \ge 2.\) Solution method – See details Inductive method: Prove that the statement is true with…