Free Printable PERMUTATIONS

1.

n factorial is ?

(a)

2.

$n!\ =\ n\left(n-1\right)\left(n-2\right)\left(n-3\right)...\times3\times2\times1$
Is this the formula for factorial numbers?

a)

Yes

b)

No

3.

n!\ =\ n\left(n-1\right)\left(n-2\right)\left(n-3\right)...\times2\times1\times0

Is this the formula for factorial numbers?

a)

Yes

b)

No

4.

$\frac{\left(n+1\right)!}{\left(n-1\right)!}$

(a)

5.

$\frac{13\times12\times11}{3\times2\times1}$

a)

$\frac{13!}{3!}$

b)

$\frac{13!}{10!\times3!}$

c)

$\frac{13!}{10!}$

d)

$\frac{13!}{13!}$

6.

$3\times9!+5\times8!$

a)

$8!\left(3\times9+5\right)$

b)

$8!\left(3\times9\times8+5\times8\right)$

c)

$8!\times32$

d)

$8!\times256$

7.

$\frac{\left(n+2\right)!+\left(n+1\right)!}{\left(n+3\right)}$

a)

$\frac{\left(n+2\right)\left(n+1\right)!+\left(n+1\right)!}{\left(n+3\right)}$

b)

$\frac{\left(n+2\right)\left(n+1\right)+\left(n+1\right)}{\left(n+3\right)}$

c)

$\frac{\left(n+1\right)!\left(\left(n+2\right)+1\right)}{\left(n+3\right)}$

d)

$\left(n+1\right)!$

8.

In how many different ways can 4 different presents can be given to 4 children ?

(a)

9.

In how many ways can the letters of the word ‘GRADIENT’ be arranged ?

(a)

10.

.How many different passwords can be formed using the letters E, F, G, H and symbols α , β and λ without repetition ?

(a)

11.

An examination paper has six questions. The students need only to answer four of them. In how many different ways can the students answer the 4 questions ?

(a)

12.

In how many different ways can 2 of the letters in the word ‘VISTA‘ be arranged without repetition ?

(a)

13.

In how many ways can all the letters in the word ‘SECTION’ be arranged without repetition such that the three letters in the middle are vowels ?

(a)

14.

In how many ways can all the letters in the word ‘SECTION’ be arranged without repetition such that the first letter is consonant ?

(a)

15.

8 different cards are to be arranged in a row. In how many ways can all the cards be arranged if 3 particular cards must be next to each other ?

(a)

16.

How many four-letter codes can be formed using the letters in the word ‘WINSDOM’ without repetition such that the first letter is consonant ?

(a)

17.

How many four-letter codes can be formed using the letters in the word ‘WINSDOM’ without repetition such that the first letter is a vowel and the last letter is a constant ?

(a)

18.

. How many four-digit numbers that are smaller than can be 6000 formed using the digits 2, 3, 4, 6 and 7 without repetition.

(a)

19.

2 boys and 4 girls are to be seated in a row of 5 chairs. Find the number of ways they can be seated if the first and the last are boys.

(a)

20.

A voicemail system password is 1 letter followed by a 3-digit number less than 600. How many different voicemail passwords are possible if all digits are allowed?

a)

214 921 200

b)

359 400

c)

15 600

21.

How many different ways can 9 people line up for a picture?

a)

362 880

b)

40 320

c)

387 420 489

22.

Four students need to be selected from a class

of 15 to help clean up the campus. How many different ways can the 4 students be chosen?

a)

32 760

b)

32 670

c)

1 365

23.

A like terms in factorial numbers can be cancel. Is it true?

a)

Yes

b)

No

24.

What does ₁₀P₅mean?

a)

Permutations with 5 choices and 10 positions

b)

Permutations with 10 choices and 5 positions

c)

Permutations with 5 numbers and 10 operations

d)

Permutations with 5 hot dogs and 10 drinks

25.

Let’s say we have 8 people:

1: Alice

2: Bob

3: Charlie

4: David

5: Eve

6: Frank

7: George

8: Horatio

How many ways can we award a 1st, 2nd and 3rd place prize among 8 contestants? (Gold / Silver / Bronze)

a)

56

b)

336

c)

3/8

d)

1/512

PERMUTATIONS

Total questions: 25

Worksheet time: 26mins

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