Tricky Problem Scenarios Flashcards
You are given a 7 letter word such as BANANA. You need to find out the number 3 letter of groupings. How do you solve
19 - List out each possible 3 letter grouping, calculate the number of possible permutations to arrange each one, and add the permutations together
You are given 8 people total to form a team of 5 people, but 2 people cannot be together on the team of 5. How do you calculate the number of team configurations?
Total Number Of Teams = Total Number Of Teams With Both + Total Number Of Teams With One OR Neither
Total Number Of Teams With One OR Neither = Total Number Of Teams - Total Number Of Teams With Both
8C5 - 6C3 = 36
In a set with an even number of items, how many elements are between the first element and the median (incl. first element excluding median)?
N/2 and n/2 + 1 are median indices, n/2 - 1 elements separated between the middle elements
In a set with an odd number of items, how many elements are between the first element and the median (incl. first element excluding median)?
n+1/2 is median index n+1/2 - 1 elements before or n-1/2 elements total
What are the conditions for two triangles to be similar/proportional to each other
- All three angles are the same measurement
- All three sides have the same proportions
- An angle of one triangle is the same measure as an angle of another triangle and the sides surrounding these angles are in the same ratio.
Let’s say we have a right triangle and an altitude bisects the triangle into two smaller triangles. What is the similarity
All 3 triangles in this case are similar
How do you find average rate?
Distance = Rate x Time
Avg Rate = Total Dist / Total Time
Multiple Parts
Avg Rate = (D1 + D2) / (T1 + T2)
What is the converging rate equation?
When two objects are moving towards each other, the distances will always add to a concrete total?
distance1 + distance2 = total distance 1&2
How do you solve a “catch up and pass” problem?
Time = Delta Distance / Delta Rate
Delta Distance = Extra Distance Faster Object Must Travel over Slower Object
Delta Rate = Rate of Faster Object - Rate of Slower Object