EASY
AS and A Level
IMPORTANT
Earn 100

Without using a calculator, find the value of:

10!8!+9!7!

Important Questions on Permutations and Combinations

EASY
AS and A Level
IMPORTANT

Without using a calculator, find the value of:

20!18!-13!11!

EASY
AS and A Level
IMPORTANT

Use your calculator to find the smallest value of n for which:

n !>1000000

EASY
AS and A Level
IMPORTANT

Use your calculator to find the smallest value of n for which:

5!×6!<n!

EASY
AS and A Level
IMPORTANT

Use your calculator to find the smallest value of n for which:

n!!>1020

EASY
AS and A Level
IMPORTANT

Use your calculator to find the largest value of n for which:

n!500000<80

EASY
AS and A Level
IMPORTANT

Use your calculator to find the largest value of n for which:

1.5×1012-n!>0

EASY
AS and A Level
IMPORTANT

Use your calculator to find the largest value of n for which:

n!(n-2)!<500

EASY
AS and A Level
IMPORTANT
Express, in as many different ways as possible, the numbers 144, 252 and 112 in the form a!×b!c!, where none of a, b or c is equal to 0 or to 1.