(a) Write down the binomial expansion of \((2 - x)^{5}\) in ascending powers of x.

(b) Use your expansion in (a) to evaluate \((1.98)^{5}\) correct to four decimal places.

Solve \(2^{(2y + 2)} - 9(2^{y}) = -2\).

(a) Write the following as column vectors: \(r = (10N, 090°) ; q = (8N, 135°)\).

(b) Use your answer in (a) to find \((r + q)\).

(a) Evaluate \(\frac{^{9}P_{3}}{^{15}C_{3}} + \frac{^{5}C_{3}}{^{3}P_{2}}\) correct to two decimal places.

(b) A committee of 2 tutors and 5 pupils is to be formed among 6 tutors and 10 pupils. In how many ways can this be done if one particular tutor must be on the committee and two particular pupils must not be on the committee?

A tyre manufacturing company researched into the life span of one type of their motorcycle tyres. The results were as follows :

(a) Draw a histogram for the distribution.

(b) Use the histogram to estimate the mode.