3rd SUMMATIVE TEST IN MATH 10

MULTIPLE CHOICE: Choose the letter of the correct answer.

1. A bookshelf has five different Algebra books and n different Geometry books. If there are

40,320 ways to arrange the books on the shelf, how many Geometry books are on the bookshelf?

              

• A)  6     

•   B) 5     

• C) 4     

• D) 3

2. If one event can occur in m ways and a second thing can occur in n ways, then which

expression gives the number of ways both events can occur?

               

• A) 𝑚! 𝑛!   

• B) 𝑚 × 𝑛    

• C) 𝑚!      

• D) 𝑛!

3. A multiple-choice test contains five questions, and each question has four options. In how

many ways can the five questions be answered?

• A) 20   

• B) 25     

• C) 625

• D) 1,024

4. Evaluate ₇P_5.

• A) 42     

•    B) 120

• C) 2,520

• D) 5,040

5. Seven beads, no two of which are the same, will be put together to form a bracelet without a lock.

How many ways can the beads be arranged?

• A) 5,040

• B) 2,520

• C) 720  

• D) 360  

6.How many six-digit numbers can be made using the digits from 9, 4, 4, 3, 4, and 2?

• A)   720  

• B) 36    

• C)120  

• D) 60

7. Nine people are to be seated at a roundtable. One of them is to be seated close to the door. How

many arrangements are possible?

• A)479,001,600   

• B)39,916,800

• C)3,628,800  

• D)362,880

8. In how many ways can three identical issues of a Mathematics magazine, two identical Statistics

magazines, and five identical Science magazines be put in a stack?

• A)1,260   

• B) 2,520

• C) 5,040

• D) 30,240

9. What concept is involved when the letters of the word “FAIR” taken 4 at a time equals 24?

• A)Combination

• B)  FPC 

• C)  Permutation 

• D)Probability n

10. Which notation of Permutation of  objects taken  at a time in the following?

               

• A) P = (n–1)!  

• nPn = n!