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
Explain your reasoning and show calculations wherever indicated for full Communication marks.
