Combination or Permutation

In a 10-item Mathematics problem test, how many ways can you select 7 questions to solve?

• a. 70

• b. 120

• c. 604 80

• d. 5 040

Entering the PIN code of your ATM, are we dealing with permutations or combinations?

• PERMUTATION

• COMBINATION

• permutation and combination are exactly the same thing

• none of these

Selecting 3 colors from 10 choices, are we dealing with permutations or combinations?

• Permutation

• Combination

• permutation and combination are exactly the same thing

• none of these

There are 7 seats in a front row. In how many ways can you arrange 7 people?

• 5040

• 7!

• 7x6x5x4x3x2x1

• all of the above

Determining the top 3 winners in a contest is a problem in ___________.

• Permutation

• Combination

• neither permuation / combination

• none of these

There are 10 people in a dinner gathering. In how many ways can they sit around a dining table if they can sit on any of the chairs? choose the correct solution for the problem.

• 10!

• (10-1)!

• 11!

• (10+1)!

Which of the following can best define a combination?

• It is a counting technique where the order of elements is individually counted.

• It is a counting technique where the order of elements matters.

• It is a counting technique that considers all possible outcomes where the order of elements is not important

• It is a counting technique that considers all possible outcomes where the order of elements is needed.

Which of the following situations does NOT illustrate combination?

• Selecting 3 songs from 10 choices for an audition.

• . Fixing the schedule of a group of students who must take exactly 8 subjects.

• Identifying the lines formed by connecting some given points on a plane.

• Enumerating the subset of a set

Evaluate 𝐶(5, 2) + P( 5,2)

• 20

• 10

• 30

• 40

₈P₃

• 1

• 8

• 56

• 336