Determining the top three winners in a Science Quiz Bee
PERMUTATION
Determining the top five winners in a bike endurance competition
PERMUTATION
Drawing a set of 8 numbers in a lottery containing numbers 1 to 35.
COMBINATION
Four people posing for pictures.
PERMUTATION
Assembling a jigsaw puzzle.
PERMUTATION
Choosing 2 household chores to do before dinner.
COMBINATION
Selecting 5 basketball players out of 10 team members for the different positions.
PERMUTATION
Choosing three of your classmates to attend your party.
COMBINATION
Picking 6 balls from a basket of 12 balls
COMBINATION
Forming a committee of 5 members from 20 people.
COMBINATION
Ten runners join a race. In how many possible ways can they be arranged as first, second, and third placers?
PERMUTATION
How many four-digit numbers can be formed from the numbers 1, 3, 4, 6, 8, and 9 if repetition of digits is not allowed?
PERMUTATION
In a 10-item Mathematics problem-solving test, how many ways can you select 5 problems to solve?
COMBINATION
From a population of 25 households, in how many ways can a researcher select a sample with a size of 10?
COMBINATION
Suppose that in a certain association, there are 12 elected members of the Board of Directors. In how many ways can a president, a vice president, a secretary, and a treasurer be selected from the board?
PERMUTATION
