Distinguishable Permutation and Combination

How many ways can we arrange 4 people in a row?

• 48

• 24

• 12

• 6

Which of the following is the correct formula for combination of objects?

How many ways can we arrange the letters of the word "MAMA"?

How many ways can we arrange the letters of the word "HAPPY"?

• 20

• 24

• 60

• 120

Which of the following illustrates combination?

• Selecting 3 among 5 nurses to attend a conference

• Arranging the 5 contestants as 1st, 2nd and 3rd

• Opening a combination lock

• Entering PIN of your ATM

It is the arrangement of objects from a set.

• Combination

• Differentiation

• Permutation

• Distinction

Which of the following expressions represents the number of distinguishable permutations of the letters of the word STARTER?

• 7!

In how many ways can 10 students be seated in a carousel?

• 504

• 4032

• 362 880

• 3 628 800

Let a = C(7, 4), b = C(7, 5), c = C(7, 6) and d = C(7, 7). If there are 7 points on the plane, no three of which are collinear, what represents the total number of polygons that can be formed with at least 5 sides?

• a + b

• a + b + c

• c + d

• b + c + d

It deals with the study of permutations and combinations of objects or enumeration of the sets of elements.

• combination

• commutation

• permutation

• combinatorics