1. How many different numbers of 3 digit can be formed with the digits 1,2,4,5,7,8; none of the digits being repeated in any of the numbers so formed ?

2. How many numbers with different digits each greater than 4000 can be formed from the digits 0, 2, 5, 7, 8?

3. How many even numbers greater than 300 can be formed with the digits 1, 2, 3, 4, 5, such that no digit being repeated in any such number?

4. Find the number of ways in which the letters of the word RAINBOW can be arranged.

5. In the different arrangements of the word RAINBOW, how many words begin with R?

6. In the different arrangements of the word RAINBOW, how many words begin with R and end with W?

7. In how many ways can the letters of the word MOBILE be arranged so that the consonants always occupy the odd places ?

8. 5 men and 4 women are to be seated for a dinner, in a row, such that no two persons of the same sex sit together. Find the number of ways in which this arrangement can be done.

9. 5 men and 4 women are to be seated for a dinner, in a row, such that no two men sit together. Find the number of ways in which this arrangement can be done

10. In how many ways can 12 soldiers stand in a queue?

11. In how many ways can 12 soldiers stand in a queue such that no other soldier stands between three particular soldiers?

12. How many different signals can be given using any number of flags from 6 flags of different colours?

13. How many different signals can be given using 3 coloured flag from 6 flags of different colours?

14. 10 students took a test and each one got the distinct score. In how many ways can three distinct prizes be given?

15. There are 10 stations on Konkan Railway Line that connects Mumbai and Mangalore at the two ends of it. How many different kinds of tickets of second class must be printed in order to make a passenger buy a ticket so that he can travel from one station to any other station?

16. In how many ways can the letters of the word REPEAT be arranged ?

17. How many words can be made from the word MATHEMATICS in which vowels are together?

18. How many numbers each lying between 9 and 1000 can be formed with the digits 0, 1, 2, 3, 7, 8 (numbers can be repeated) ?

19. In how many ways 4 rings of different types can be worn in 3 fingers?

20. In how many ways can 6 beads be strung into a necklace?

21. 6 men and 6 women are to be seated at a circular table such that no two women are adjacent, then the number of arrangements is :

22. Find the number of ways in which 10 different flowers can be strung to form a garland so that 3 particular flowers are always together.

23. Droupdi has 5 friends. In how many ways can she invite one or more of them to a dinner?

24. In how many ways can a committee of 6 members be formed from 7 men and 6 ladies consisting of 4 men and 2 ladies?

25. A committee of 5 persons is to be formed from a group of 6 gentlemen and 4 ladies. In how many ways can this be done if the committee is to be included atleast one lady?