EASY
AS and A Level
IMPORTANT
Earn 100

Find how many ways four men and two women can stand in a line if:

the two women must be separated

50% studentsanswered this correctly

Important Questions on Permutations and Combinations

EASY
AS and A Level
IMPORTANT

Find how many ways four men and two women can stand in a line if:

the four men must not be separated

EASY
AS and A Level
IMPORTANT
Find the ratio of odd-to-even six-digit numbers that can be made using the digits 1,2,3,4,5 and 7.

[Enter the value in m:n format, where m & n are smallest possible positive integers]

EASY
AS and A Level
IMPORTANT

Find how many ways 10 books can be arranged in a row on a shelf if:

the two oldest books must be in the middle two positions.

EASY
AS and A Level
IMPORTANT

Find how many ways 10 books can be arranged in a row on a shelf if:

the three newest books must not be separated.

EASY
AS and A Level
IMPORTANT

Five cows and one set of twin calves can be housed separately in a row of seven stalls in P77=5040 ways. Find in how many of these arrangements:

the two calves are not in adjacent stalls

EASY
AS and A Level
IMPORTANT

Five cows and one set of twin calves can be housed separately in a row of seven stalls in P77=5040 ways. Find in how many of these arrangements:

the two calves and their mother, who is one of the 5 cows, are in adjacent stalls

EASY
AS and A Level
IMPORTANT

Five cows and one set of twin calves can be housed separately in a row of seven stalls in P77=5040 ways. Find in how many of these arrangements:

each calf is in a stall adjacent to its mother.

EASY
AS and A Level
IMPORTANT

Find how many of the six-digit numbers that can be made from 1,2,2,3,3 and 3:

begin with a 2