SUMMATIVE TEST 3 Q3

SUMMATIVE TEST 3 Q3

10th Grade

30 Qs

quiz-placeholder

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SUMMATIVE TEST 3 Q3

SUMMATIVE TEST 3 Q3

Assessment

Quiz

Mathematics

10th Grade

Practice Problem

Hard

Created by

ELENA SUMANDO

Used 10+ times

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30 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

A school principal is arranging 6 different awards on a display shelf where the order in which they are placed matters. What mathematical concept is used to determine the number of possible arrangements?

Combination

Permutation

Probability

Factorization

2.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

A school is assigning seats to students for an examination, where each seat has a specific number. Which of the following best illustrates this situation?

Selecting 5 students to join a competition

Choosing 3 books from a library to read

Assigning numbered seats to students for an exam

Forming a study group with 4 members

3.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

A librarian is organizing 7 different books on a shelf and calculates the total number of ways to arrange them by multiplying all positive integers up to 7. What is this product called?

Powers of 7

Multiples of 7

7-factorial

7-factors

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A teacher explains that P(n,r) represents the number of ways to arrange r objects chosen from n distinct objects when order matters. Why is P(n,r) equal to n!(n−r)! ?

Because order does not affect the arrangement.

Because P(n,r) is derived from n! divided by the ways to arrange the unchosen objects, which is (n−r)!.

Because permutations are always equal to factorial values.

Because P(n,r) is undefined when r=0

5.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

A student is asked to calculate P(5,5), which represents the number of ways to arrange 5 objects in a specific order. What is the result of P(5,5)?

10

60

120

240

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A concert hall has 10 available seats in the front row, and 6 musicians are to be arranged in those seats for a performance. How many different ways can the 6 musicians be arranged in the 10 seats?

2520, because only 6 seats are available for selection

5040, because 10 musicians are being arranged in 6 positions

30240, because the number of arrangements is calculated as P(10,6)=10×9×8×7×6×5

3628800, because the total number of arrangements is found by multiplying 10!

7.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

In a contest, the number of ways to arrange r students out of 8 is given by P( 8, r). The teacher wants you to determine the value of r based on this information. What is the value of r?

3, because P(8,3)=336

4, because P(8,4)=1680

5, because P(8,5)=6720

6, because P(8,6)=20160

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