Permutations and combinations

Practice section 1 of 10

Questions 1–6 in this collection

Worked example · 1 of 6

Do you know the total number of combinations possible on a combination lock which contains 4 wheels each numbered 0-9?

CJC · Lecture · Opening lock question (unnumbered)

Worked example · 2 of 6

One can travel from Singapore to Tokyo by air and sea. If there are 4 passenger airlines and 3 passenger shipping lines operating between the 2 cities, what is the total number of ways a man can travel from Singapore to Tokyo?

CJC · Lecture · Example 1

Worked example · 3 of 6

There are 2 roads connecting City A and City B, and 3 roads connecting City B and City C. There is no direct road that links City A to City C. How many ways are there to travel from City A to City C?

CJC · Lecture · Example 2

Worked example · 4 of 6

There are 10 vacant seats in a bus. In how many ways can 10 people seat themselves?

CJC · Lecture · Example 3

Worked example · 5 of 6

There are 10 vacant seats in a bus. In how many ways can 3 people seat themselves?

CJC · Lecture · Example 4

Worked example · 6 of 6

How many different license plates are available if each plate contains a sequence of three letters followed by three digits given that the letters and digits may be repeated?

CJC · Lecture · Example 5