EASY
AS and A Level
IMPORTANT
Earn 100

A gardener has nine rose bushes to plant: three have red flowers and six have yellow flowers. If they plant them in a row in random order, find the probability that:

a yellow rose bush is in the middle of the row

50% studentsanswered this correctly

Important Questions on Permutations and Combinations

EASY
AS and A Level
IMPORTANT

A gardener has nine rose bushes to plant: three have red flowers and six have yellow flowers. If they plant them in a row in random order, find the probability that:

the three red rose bushes are not separated

MEDIUM
AS and A Level
IMPORTANT

A gardener has nine rose bushes to plant: three have red flowers and six have yellow flowers. If they plant them in a row in random order, find the probability that:

no two red rose bushes are next to each other.

EASY
AS and A Level
IMPORTANT

A farmer has 50 animals. They have 24 sheep, of which three are male, and they have 26 cattle, of which 20 are female. A veterinary surgeon wishes to test six randomly selected animals. Find the probability that the selection consists of:

equal numbers of cattle and sheep

EASY
AS and A Level
IMPORTANT

A farmer has 50 animals. They have 24 sheep, of which three are male, and they have 26 cattle, of which 20 are female. A veterinary surgeon wishes to test six randomly selected animals. Find the probability that the selection consists of:

more females than males.

EASY
AS and A Level
IMPORTANT
How many distinct arrangements of the letters in the word STATISTICS are there?
MEDIUM
AS and A Level
IMPORTANT
Letters in the word STATISTICS are arranged distinctly. Find the probability that a randomly selected arrangement begins with three Ts.
MEDIUM
AS and A Level
IMPORTANT
Letters in the word STATISTICS are arranged distinctly. Find the probability that a randomly selected arrangement begins with three identical letters.
EASY
AS and A Level
IMPORTANT

Three skirts, four blouses and two jackets are hung in random order on a clothes rail. Find the probability that:

the three skirts occupy the middle section of the arrangement