PRE - ASSESSMENT (PERMUTATION & COMBINATION)

Choosing a subset of a set is an example of

• combination

• differentiation

• integration

• permutation

Which of the following situations or activities involve permutation?

• matching shirts and pants

• forming different triangles out of 5 points on a plane, no three of which are collinear

• assigning telephone numbers to subscribers

• forming a committee from the members of a club

The product of a positive integer n and all the positive integers less than it is 

• powers of n                

• multiples of n 

• n – factors

• n factorial

4.Two different arrangements of objects where some of them are identical are called

• distinguishable permutations

• unique combinations

• circular permutations

• circular combinations

How many different 4 – digit even numbers can be formed from the digits 1, 3, 5, 6, 8, and 9 if no repetitions of digits is allowed?

• 1 680               

• 840

• 420

• 120

In how many ways can 8 people be seated around a circular table if two of them insist on sitting beside each other?

• 360

• 720

• 1 440

• 5 040

Find the number of distinguishable permutations of the letters of the word PASS.

• 4

• 12

• 36

• 144

Ms. Santos asked Renz to draw all the diagonals of a certain polygon on the board. Renz was able to draw 27 diagonals which his teacher declared correct. What was the given polygon?

• pentagon

• hexagon

• nonagon

• decagon

Ms. De Leon wants to produce different sets of test questions for her essay test. If she plans to do this by putting together 3 out of 5 questions she prepared, how many different sets of questions could she construct?

• 10 

• 20

• 60

• 80

If P(9, r) = 3024, what is r?

• 2

• 4

• 5

• 6