1. In how many ways can you spin an even number in a numbered spinner of 4 sections (sections 1,2,3,4) and roll a sum of 10 with two dice and flip a coin? State the counting principle used. [2A,1C]

2. The word “SILLAGE” describes the scent that lingers in the air or the impression made in space after something or someone has been and gone. In how many ways can you arrange the letters of “SILLAGE” so that: [4K, 1C]

a) there are no restrictions

b) the word starts with “L” and ends in “L”


3. A card is selected from a standard deck.

a) How many ways could it be a spade or a heart? State the counting principle you used. [1A, 1C]

b) How many ways could it be a club or a King? [1A]


4. There are 7 students in grade 11 and 15 students in grade 12 that are part of the VSS robotics club. A committee consisting of a president, vice president, media rep, and accountant is being chosen.

a. In how many ways could the panel be chosen if the president and vice president must be from different grades? [2A]

b. In how many ways could the panel be chosen if it must include at least one grade 11 student and at least one grade 12 student? [2A,1C






5. For this row of the Pascal’s triangle: [4K]
1 10 45 120 210 252 210 120 45 10 1

a) state the row number. ___________________

b) state the terms of the next row of the Pascal’s Triangle.

c) state the value of the term equal to ___________________10,4 + 10,3

d) state the row number of Pascal’s triangle where the terms have a sum of 2048 ____________

6. Wong was at their favourite store “A”. When it is time to leave, Wong realizes
that there are many paths to exit B. Wong wonders how many pathways are
there to get to exit B if Wong can only walk down ( ) or right ( ) . Show your↓ →
work in the diagram. [2C]
Total Ways: __________


7. In how many ways could you write a seven digit number more than 6000000 that is even using only the digits 1,4,4,6,7,8,8. [5T,1C