Answer each of the following questions with clear solutions and word explanations where they are appropriate.

1. Hovv many terms are in the binomial expansion of (a: + f )1\"? (1 mark for the correct number of terms) 2. a) What is the value of n for the rovv of Pascal 's Triangle that is: 1 4 6 4 1? (1 mark for the correct value of n) b) What is the next row after 1 4 6 4 l in Pascal's Triangle? (1 mark for the correct next row) 3. Find the 6m term in the binomial expansion of (x2 + y)\". (3 marks: 1 mark for the correct combination, 1 mark for both consistent factors, one mark for evaluating combinations and exponents) 4. Find and completely simplify the 3"\" term in the binomial 1'9 (x 3 l . + 3' expansion of 2 X (3 marks: 1 mark for the correct combination, 1 mark for both consistent factors, one mark for evaluating