Evaluation of Combinatorial Expressions

Submitted by vladimir.arzt on Fri, 10/18/2024 - 21:50

Project ID:

7300000089

Accepted:

SubArea:

Combinatorics

Type:

Scrolling

Layout:

8x8

Question:

Match the combinatorial expressions with their numerical values:

Questions Title:

Combinatorial Expressions

Answers Title:

Numerical Values

Question 1:

(\binom{7}{3})

Answer 1:

35

Question 2:

Number of

3

-permutations from a set of

7

distinct elements

Answer 2:

210

Question 3:

Number of permutations of

6

distinct elements

Answer 3:

720

Question 4:

Number of

3

-permutations with repetition from a set of

7

distinct elements

Answer 4:

343

Question 5:

\frac{8!}{6! + 7!}

Answer 5:

$7$

Question 6:

Number of

5

-combinations from a set of

9

distinct elements

Answer 6:

126

Question 7:

\frac{8!}{6! \cdot 2!}

Answer 7:

28

Question 8:

Number of

3

-permutations from a set of

8

distinct elements

Answer 8:

336

Evaluation of Combinatorial Expressions

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