Maya Garg is an owner of a books store .

If she put one book per shelf, she left with one book with no shelf left. If she put two books per shelf, one shelf will remain empty.

How many shelfs and books do she have?

3 shelfs and 4 books

How many ways can n books be placed on k distinguishable shelves? a. If no two books are the same ,and the positions of the books on the shelves does not matter? b. If no two books are the same,and the positions of the books on the shelves matter?

The local library decided to hand out some of its old books to its 1400 borrowers. To each of the female borrowers they gave 6 books and to each male borrower they gave 4 books. If only half of the females in town and three quarters of the males in town accepted the books how many books were given away?

I have some pencils and some jars. If I put 4 pencils into each jar, I will have one jar left over. If I put 3 pencils into each jar, I will have one pencil left over. How many pencils and how many jars do I have?

In your pocket you have £1.40.

It is made up of four different denominations of coins and the largest denomination is 20 p.

You have exactly the same number of each coin.

How many of each coin do you have and what are their values?