Online test

Mathematics I – foundations – test 3: Combinatorics: permutations and variations

10 multiple-choice and short-answer problems (Mathematics I). The solutions are shown after checking.

For multiple-choice questions choose one answer. For the others type the answer: a number, a decimal or a fraction such as 5/12. When you finish, click Check answers.

1. What is

5!

?Enter a number only

2. What is

0!

?Enter a number only

3. In how many ways can 4 different books be arranged on a shelf?Enter a number only

4. How many different words (permutations) can be made from the letters of TEUTA?Enter a number only

5. How many permutations does the word MAMA have?Enter a number only

6. Compute the variations without repetition

V_{10}^{5}

.Enter a number only

7. What is

V_{6}^{2}

(without repetition)?Enter a number only

8. How many three-digit strings can be written using only the digits 1 and 2 (with repetition)?Enter a number only

9. How many six-digit numbers with different digits can be written with 0, 1, 2, 3, 4, 5?Enter a number only

10. Which is the formula for variations of

n

elements of class

k

without repetition?

n^{k}

\frac{n!}{(n - k)!}

\frac{n!}{k! (n - k)!}

\frac{n!}{k!}