Permutation and Combination

It is the arrangement of objects from a set.

• Combination

• Differentiation

• Permutation

• Distinction

Tags

CCSS.HSS.CP.B.9

Which of the following situations illustrates

   combination?

• arranging books in a shelf

• drawing names from a box containing 20 names

• forming different numbers from 5 given digits

• . forming plate numbers of vehicles

Tags

CCSS.HSS.CP.B.9

Which of the following expressions represents

                the number of distinguishable permutations of

                the letters of the word STARTER?

• 7!

Tags

CCSS.HSS.CP.B.9

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

• 504

• 4032

• 362 880

• 3 628 800

Tags

CCSS.HSS.CP.B.9

How many different rays can be formed from 8 distinct points on a plane, no three of which lie on the same line?

• 56

• 28

• 26

• 4

Tags

CCSS.HSS.CP.B.9

If P(9, r) = 126, what is r?

• 7

• 6

• 4

• 3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

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

Tags

CCSS.HSS.CP.B.9

If a committee of 8 members is to be formed from 8 sophomores and 5 freshmen such that there must be 5 sophomores in the committee,which of the following is/are true?

I. The 8 committee members can be selected in 1 287 ways.

               II. The 5 sophomores can be selected in 56 ways.

               III. The 3 freshmen can be selected in 10 ways

• I only

• I and II

• II and III

• I, II, and III

Tags

CCSS.HSS.CP.B.9

If x = P(7, 4), y = P(8, 4), and z = P(9, 3),  arrange x, y, and z from smallest to greatest.

• x, y, z

• y, x, z

• z, x, y

• x, z, y

Tags

CCSS.4.NBT.A.2

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

• combination

• commutation

• permutation

• combinatorics

Tags

CCSS.HSS.CP.B.9