Permutations and Combinations

Find the number of ways of arranging 6 different encyclopedias on a shelf

• 5!

• 6!

• 7!

• 8!

How many arrangements can be formed from the word MEDIAN?

• 5!

• 6!

• 7!

• 8!

How many ways can 5 persons seat if there are 10 vacant seats in a van?

• $10P_{10}$

• $5P_5$

• $10P_5$

•  $10C_5$ 

In how many ways can the word ARRANGE be rearranged if there is no restriction.

• $7!$

• $\frac{7!}{2!}$

• $\frac{7!}{2!2!}$

• $\frac{7!}{2!3!}$

Three-digit numbers are to be formed from the digits 0, 1, 2, 3, and 4 (excluding number which begins with 0). How many numbers can be formed when repetition is allowed.

• $5\times5\times5$

• $3\times4\times5$

• $3\times4\times4$

• $4\times5\times5$

A team of 3 members is to be selected from 8 students. In how many ways can the team be chosen if  there is no restriction.

•  $8!$  

•  $8P_3$  
  

•  $8C_3$  
  

•  $3!$  
  

How many different ways to choose 3 women and 2 men from 7 women and 5 men to join a committee club members?

•  $12C_5$  
  

•  $7C_3\times5C_2$ 
  

•  $7P_3\times5P_2\$  
  

•   $12P_5$  
  

A man has 13 course mates and he wants to invite 6 of them to lunch.  In how many ways can he invite them? 

•  $13C_6$  
  

•  $6C_{13}$ 
  

•  $6P_{13}$  
  

•   $13P_6$  
  

A student is to answer 8 out of 10 questions in an examination. How many choices she has?

•  $8C_{10}$  
  

•  $8P_{10}$ 
  

•  $10P_8$  
  

•   $10C_8$  
  

There are 10 boys and 15 girls in a class. How many ways can the teacher choose a committee of 5?

•  $10C_5$  
  

•  $10P_5$ 
  

•  $25P_5$  
  

•   $25C_5$