Introduction to Permutation

Q. In how many ways can five persons be seated in a row?

1. $60$
2. $120$
3. $24$
4. $100$

Q. A fair coin is tossed 4 times and the outcomes are recorded. How many possible outcomes are there?

Q. How many arrangements can be made by using the letters of word $\text{ROSE}$?

1. $24$
2. $12$
3. $6$
4. $36$

Q. How many distinct four digit numbers can be formed from the digits $4,5,6,7,8,9$?

1. $180$
2. $720$
3. $360$
4. $300$

Q. Eight students compete in the race. In how many ways first three prizes be given?

1. $336$
2. $663$
3. $360$
4. $512$

Q.

A coin is tossed $3$times and the outcomes are recorded. How many possible outcomes are there?

Q.

What is the number of $3$-digit number that can be formed using the digits $0$, $1$ and $5$, without repeating a digit in any number?

Q.

An ice cream shop offers a choice of two types of cones and $15$ flavors of ice cream. How many different $1$-scoop ice cream cones can a customer order?

Q. How many different words can we make using the letters $A,B,G$ and $L?$

1. $16$
2. $24$
3. $32$
4. $64$

Q. There are $10$ balls of different colors out of which arrangement of $4$ balls are done. What are the number of possible arrangements?

1. $5040$
2. $720$
3. $4005$
4. None of the above

Q. If we have $5$ different bicycles and we want to arrange them all in a line. How many different ways are there to arrange them?

Q. Permutation means

1. Arrangement of objects in which the order does not matter
2. Arrangement of objects in which order matters
3. Selection of objects in which the order does not matter
4. None of the above