Kounting
It's a good thing this category is not about spelling. This is why.
What is Counting starts with C?
Ezekiel bought a Christmas present for Teko, but now needs to choose a box. If he has three possible boxes to choose from (and he must put the present in exactly one of the boxes), this is the number of ways that he can put his present into a box.
What is 3?
This is the result of subtracting C(100,30) from C(100,70). Hint: It's the most laidback integer there is, neither positive nor negative.
What is 0?
This is how many subsets there are of the set {a, b}. Hint: There were four main members of the Beatles, and they sang the song, "We all live in a yellow submarine." In fact, the title of this category "We all live in a yellow subset" was loosely based on this song by the Beatles. If your group can all sing a portion of the chorus together, score 100 points extra.
What is 4? (And, nice singing.)
This bestselling song of all time is a Christmas song written by Irving Berlin and sang by Bing Crosby. Hint: It might be the color of Christmas that you're dreaming of.
What is I'm Dreaming of a White Christmas? (Anyone (from any team) scores a bonus of 200 for their team if they actually sang a little bit of the song.)
If you roll a single 6-sided die, this is the number of ways to get a number that is even or less than 4 (or both).
What is 5?
This is the number of ways you can hand out 20 identical cheesy gifts to your five friends at EMU. It's possible some friend(s) get none and a pigeon told me that at least one friend must get at least four.
What is C(24,4)?
From a school class of 70 boys and 45 girls, this is how many ways you could form a council of 2 boys and 2 girls (no distinct positions).
What is C(70, 2)*C(45,2)?
That singing we all just witnessed was okay, but I think that your group can make the Beatles even more proud. Sing, as a group, portions of up to 3 Beatles' songs for 100 pts each. The next group can have up to 1 more for 100 pts (if they can think of one) just so everyone has a chance to sing some Beatles.
What is "I wanna hold your hand"?
The EMU Christmas planning committee of 5 first-years, 3 sophomores, 2 juniors, and 4 seniors must create a Rudolph subcommittee with 2 first-years and 1 from each of the other classes. This is the number of ways to do that.
What is 240 ways?
When rolling a green die and a red die (both 6-sided), this is the number of ways that the number showing on the green die is higher than the one on the red die.
What is 15?
Score 100 pts (up to 500) for every song that you can sing a portion of in 20 seconds (for this question, it can be any member of the group). Caveat: Each song must contain the word "love" (or a derivative) in it AND you must sing a portion of the song that has that word. Rebound teams can get up to 200 each but only have 10 seconds each.
What is "I can feel the Love."?
There are 18 students in a class, with 11 of those students being first-year students. This is how many councils of 4 with exactly 2 first-year students could be formed from among the class if Ethan (first-year) insists he cannot be on the council with Delan (not first-year).
What is C(11,2)C(7,2) - 60 councils?
Name a country that has yellow in its flag. (Score a bonus of 100 for up to 2 other such countries, but as soon as you guess an incorrect one, it's over!)
What is Germany, Belgium, Vietnam, China, etc.?
In the Moslem version of Jesus's birth, Mary appears from out of the desert with the baby Jesus and is accused by the temple elders for being unchaste... that is until this person speaks up as his very first miracle.
Who was Jesus?
This is the chance that a 13-card hand from a deck of 52 cards contains one of each value.
What is (4^13)/C(52,13)?
10-3 is back! Without using a calculator or looking at notes, places these in order from lowest to highest: p(10,3), C(10,3), P(10,3), and S(10,3).
What is it's already done?
This is the greatest value of C(100, 20), C(90, 30), C(60,40), and C(50,50) without using a calculator.
What is C(90,30)?
Given a set A with n elements, this is the subset of all relations on A that are both one-to-one and onto functions.
What is n! functions?
In Christmas poker, each player is dressed in Christmas-themed clothing and gets 5 cards from a 52-card deck. This is the number of Christmas poker hands that have just a pair (not two pair, not three-of-a-kind, not full house).
What is C(13,1)*C(4,2)*C(12,3)*(4^3) = 1,098,240 hands
This is the number of positive integers less than or equal to 100 that are divisible by 2, 3, or 5.
What is 74?
This is the number of ways that you can split a class of 10 students into an even number of groups. (Who's in what group matters, but the groups themselves are identical.)
What is S(10,2) + S(10,4) + S(10,6) + S(10,8) + S(10,10)?
This is the number of ways in which the questions of this Jeopardy game could be chosen (keeping the rule that you must move downward within any particular column).
What is C(25,5)*C(20,5)*C(15,5)*C(10,5)?
This is how many subsets of [90] contain only multiples of 3.
What is 2^30?
Rather than following the traditional way to open your Advent calendar, you decide to open it out of order. This is how many ways there are to open the correct door every Wednesday (and Christmas itself of course!) and an incorrect door on all other days.
What is !21 ways? (Or !20 ways, if there are four Wednesdays before Christmas in that particular December)