Word Problems I

Submitted by ladislav.foltyn on Wed, 04/03/2019 - 20:53
Project ID: 
6000000044
Accepted: 
SubArea: 
Combinatorics
Type: 
Scrolling
Layout: 
6x6
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: 

(106), 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: 

10!6!, i.e. 5040

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

610, i.e. 60466176

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

(1510), i.e. 3003

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. 3628800

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: 

10!4!, i.e. 151200

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