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1. How many numbers are there between 100 and 1000 , in which all the digits are distinct?

2. How many three digit odd numbers can be formed by using the digits 1,2,3,4,5,6 if the repetition of digit is not allowed:

3. There are 8 doors to a college hall. In how many ways can a student enter through one door and get out through another?

4. A lady wants to select one cotton saree and one polyster saree from a textile shop. If there are 15 cotton and 13 polyster varieties in that shop, in how many ways can she pick up two sarees?

5. How many numbers divisible by 5 and lying between 4000 and 5000 can be formed from the digits 4,5,6,7 and 8?

6. In how many ways 5 letters can be posted in 4 letter boxes?

7. How many number of four digits can be formed with the digits 1,2,3,4,5 if the digit can be repeated in any number of times?

8. There are 7 chairs in a row. In how many ways can 3 persons occupy any three of them

9. How many 4 digit numbers are there, when a digit may be repeated any number of times?

10. How many three digit odd numbers can be formed by using the digits 5,6,7,8 if the repetition of digits is allowed?