Cambridge International AS & A Level Mathematics : Probability & Statistics 1 Course Book>Chapter 5 - Permutations and Combinations>EXERCISE 5A>Q 3

EASY

AS and A Level

IMPORTANT

Earn 100

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

$\frac{n!}{500000} < 80$

Important Questions on Permutations and Combinations

EASY

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Probability & Statistics 1 Course Book>Chapter 5 - Permutations and Combinations>EXERCISE 5A>Q 3

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

$1.5 \times 10^{12} - n! > 0$

EASY

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Probability & Statistics 1 Course Book>Chapter 5 - Permutations and Combinations>EXERCISE 5A>Q 3

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

$\frac{n!}{(n - 2)!} < 500$

EASY

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Probability & Statistics 1 Course Book>Chapter 5 - Permutations and Combinations>EXERCISE 5A>Q 4

Express, in as many different ways as possible, the numbers

144, 252

and

1 \frac{1}{2}

in the form

\frac{a! \times b!}{c!},

where none of

a, b

or

c

is equal to

0

or to

1 .

EASY

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Probability & Statistics 1 Course Book>Chapter 5 - Permutations and Combinations>EXERCISE 5A>Q 5

Express the area of a

53 cm

by

52 cm

rectangle using factorials.

EASY

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Probability & Statistics 1 Course Book>Chapter 5 - Permutations and Combinations>EXERCISE 5A>Q 6

Two cubical boxes measure

25 cm

by

24 cm

by

23 cm,

and

8 cm

by

7 cm

by

6 cm .

Express the difference between their volumes using factorials.

EASY

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Probability & Statistics 1 Course Book>Chapter 5 - Permutations and Combinations>EXERCISE 5A>Q 7

Eight children each have seven boxes of six eggs and each egg is worth

$ 0.09 .

Write the total value of all these eggs in dollars, using factorials.

EASY

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Probability & Statistics 1 Course Book>Chapter 5 - Permutations and Combinations>EXERCISE 5B>Q 1

In how many ways can the six letters

A, B, C, D, E

and

F

be arranged in a row?

EASY

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Probability & Statistics 1 Course Book>Chapter 5 - Permutations and Combinations>EXERCISE 5B>Q 2

From a standard deck of $52$ playing cards, find how many ways there are of arranging in a row:

the four kings