combinatorics
how many ways to arrange 5 students in a row?
120
Portia's high school has 3 times as many students as Lara's high school. The two high schools have a total of 2600 students. How many students does Portia's high school have?
1950
How many people do you need to put in a room to guarantee that at least two of them have the same first letter of their name?
How many 3-digit ascending numbers are there? (means digits are increasing from left to right)
84
The ratio of w to x is 4:3, the ratio of y to z is 3:2,
and the ratio of z to x is 1:6. What is the ratio of w to y?
16/3
What is the ones digit of 3^67 + 2^67
5
There are 9 identical cookies in a jar and 4 people. I want to distribute all the cookies amongst these 4 people but I don't want anyone to get 0 cookies. How many ways are there to do this?
8C3
How many positive even multiples of 3 less than 2020 are perfect squares?
7
A single bench section at a school event can hold either 7 adults or 11 children. When N bench sections are connected end to end, an equal number of adults and children seated together will occupy all the bench space. What is the least possible positive integer value of N?
18