SOLUTION: This word problem is on combinations.. How many ways can a student select five questions from an exam containing nine questions?How many ways are there if he must answer the first

Algebra.Com
Question 266012: This word problem is on combinations..
How many ways can a student select five questions from an exam containing nine questions?How many ways are there if he must answer the first question and the last question?

Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!
This word problem is on combinations..
How many ways can a student select five questions from an exam containing nine questions?
`
9 choose 5
`
The combinations of 9 things taken 5 at a time
`

`
How many ways are there if he must answer the first question and the last question?
`
Then there is no choice for 2 of the 5, so the only selections which
can be made for the remaining 3 are from the remaining 7. So it's
`
7 choose 3
`
the combinations of 7 things taken 3 at a time:
`

`
Edwin

RELATED QUESTIONS

This problem involves combinations. A student must answer nine of the thirteen... (answered by Edwin McCravy)
In how many ways can a student select five questions to answer from an exam containing... (answered by ikleyn)
how many ways can a student select 5 questions from an exam containing 9 questions (answered by richard1234)
How many ways can a student pick five questions from an exam containing eleven questions? (answered by ikleyn)
A student is asked to answer 8 out 12 questions on an exam. In how many ways can she... (answered by jorel1380)
A student is asked to answer 10 out of 13 questions on an exam. In how many ways can she... (answered by ewatrrr)
A student is asked to answer 9 out of 13 questions on an exam, In how many ways can she... (answered by Alan3354)
A student is asked to answer 9 out of 15 questions on an exam. In how many ways can she... (answered by stanbon)
A student is asked to answer 7 out of 9 questions on an exam,in how many ways can she... (answered by solver91311)