5. In the binomial expansion of (x + y)26. (a) How many terms are in the expansion? [1] (b) in the term 560xy, what is the value of k? [1] 6. Use the Binomial Theorem to expand (x + 2y)". Use Pascal's triangle to determine the coefficients of the terms by sketching Pascal's triangle in the box. 7. A committee of five teachers is created from the mathematics and science departments. Four mathematics teachers and five science teachers volunteered for the committee. The committee must have at least three mathematics teachers. How possible ways can the committee be formed? [3] 8. A housing complex has ten senior citizens and twenty younger adults. How many groups of five can be created if there are at least two senior citizens in the group? [3] 9. There are 90 data management students subdivided into three equal dasses. A survey of ten students will be taken randomly selected from only two of the classes. If six students are chosen from one class and four students are chosen from the other class, how many groups of ten can be formed for the survey? 131