Evaluation of Combinatorial Expressions

Project ID: 
7300000089
Accepted: 
SubArea: 
Type: 
Layout: 
Question: 
Match the combinatorial expressions with their numerical values:
Questions Title: 
Combinatorial Expressions
Answers Title: 
Numerical Values
Question 1: 
$${7 \choose 3}$$
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: 
$$\frac{8!}{6!\cdot2!}$$
Answer 7: 
$$28$$
Question 8: 
Number of $3$-permutations from a set of $8$ distinct elements
Answer 8: 
$$336$$