EASY
AS and A Level
IMPORTANT
Earn 100

Find how many three-digit numbers can be made from the digits 0,1,2,3 and 4, used at most once each, if the three-digit number: three-digit number: 

must be a multiple of 10

50% studentsanswered this correctly

Important Questions on Permutations and Combinations

EASY
AS and A Level
IMPORTANT

Find how many three-digit numbers can be made from the digits 0,1,2,3 and 4, used at most once each, if the three-digit number: three-digit number: 

cannot begin with zero.

EASY
AS and A Level
IMPORTANT
Give an example of a practical situation where the calculation Prn=120 might arise.
EASY
AS and A Level
IMPORTANT
Given that Prn×Pn-rn=k×Pnn, find an expression for k in terms of n and r.
EASY
AS and A Level
IMPORTANT
Five playing cards are randomly selected from a standard deck of 52 cards. These five cards are shuffled, and then the top three cards are placed in a row on a table. How many different arrangements of three of the 52 cards are possible?
EASY
AS and A Level
IMPORTANT

Seven chairs, A to G, are arranged as shown. In how many ways can the chairs be occupied by 7 of a group of 12 people if three particular people are asked to sit on chairs B,D and F, in any order?

 Question Image

EASY
AS and A Level
IMPORTANT

A minibus has 11 passenger seats. There are six seats in a row on the sunny side and five seats in a row on the shady side, as shown in the following diagram.

Find how many ways eight passengers can be arranged in these seats if:

Question Image

there are no restrictions

EASY
AS and A Level
IMPORTANT

A minibus has 11 passenger seats. There are six seats in a row on the sunny side and five seats in a row on the shady side, as shown in the following diagram.

Find how many ways eight passengers can be arranged in these seats if:

Question Image

one particular passenger refuses to sit on the sunny side