In how many different ways can we make a selection of one or more dyes from 3 green dyes and 4 blue dyes?

In how many ways can 5 sportsmen be selected from a group of 10 ?

In how many ways can a person invite one or more of his 8 friends to a feast ?

There are 4 oranges, 5 apples and 6 mangoes in a fruit basket. In how manyways can a person make a selection of fruits from among the fruits in the basket?

In how many different ways can five boys and five girls form a circle such that the boys and girls alternate?

How many different signals can be transmitted by arranging 3 red, 2 yellow and 2 green flags on a pole ?

How many selections of 4 books can be made from 8 different-books ?

In how many ways can we select a cricket eleven from 17 players in which only 5 players can bowl if each cricket eleven must include exactly 4 bowlers ?

In how many ways 5 different balls can be arranged into 3 different boxes so that no box remainns empty?

In how many ways can six different rings be worn on the four fingers of one hand ?