Permutations and Combinations Easy Level

In how many ways can 5 people stand in a line if a particular person must be at the front?

How many 4-letter arrangements can be made from the letters of MONDAY without repetition?

How many 4-digit PINs can be made from the digits 0 to 9 if digits may repeat?

How many 4-digit PINs can be made from the digits 0 to 9 if no digit repeats?

In how many ways can a team of 11 be picked from 14 players?

A team of 11 is picked from 14 players, and the captain must always be included. In how many ways can it be done?

How many 3-letter arrangements can be made from the letters of ENGLISH without repetition?

The map shows a grid of streets. A walker goes from A to B by a shortest route, moving only right or up along the streets.

How many shortest routes are there from A to B?

The map shows a grid of streets. A walker goes from A to B by a shortest route, moving only right or up along the streets.

How many shortest routes from A to B pass through the junction P?

In how many ways can 4 people sit in a row of 5 chairs?