Word Problems I

Project ID: 
6000000044
Accepted: 
SubArea: 
Type: 
Layout: 
Question: 
Match each word problem to its solution.
Questions Title: 
Word problems:
Answers Title: 
Solutions:
Question 1: 
Out of ten different toy cars we would like to buy six. In how many ways can we make our purchase?
Answer 1: 

$\binom{10}6$, i.e. $210$

Question 2: 
On the shelf, in a toy shop, there are ten cars out of which six are the same. In how many ways can the cars be arranged in a row?
Answer 2: 

$\frac{10!}{6!}$, i.e. $5\,040$

Question 3: 
In how many ways can ten different toy cars be distributed to six children?
Answer 3: 

$6^{10}$, i.e. $60\,466\,176$

Question 4: 
In how many ways can ten identical toy cars be distributed to six children?
Answer 4: 

$\binom{15}{10}$, i.e. $3\,003$

Question 5: 
On the shelf, in a toy shop, there are ten different cars. In how many ways can the cars be arranged in a row?
Answer 5: 

$10!$, i.e. $3\,628\,800$

Question 6: 
In how many ways can six different cars be distributed to ten children, if every child gets at most one car?
Answer 6: 

$\frac{10!}{4!}$, i.e. $151\,200$

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% ticket 32338 \NastavOT{2} \NastavOD{3}