- #1

chwala

Gold Member

- 2,128

- 280

- Homework Statement:
- solve the problem below;

- Relevant Equations:
- permutation and combination

Last edited by a moderator:

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- Thread starter chwala
- Start date

- #1

chwala

Gold Member

- 2,128

- 280

- Homework Statement:
- solve the problem below;

- Relevant Equations:
- permutation and combination

Last edited by a moderator:

- #2

chwala

Gold Member

- 2,128

- 280

for the first part, not difficult,

we have ##7!=5040##

now for the second part, i get a bit confused here ok, i merged the last two fellows and now i have 6 items...

therefore i will have ##6C4 ##× the remaining ##3## can be arranged in 1 way only= ##15## is this the correct approach?...not one of my favorite topics ...

or can i say that, the car can be filled up in this way,

##5C2 ×1## way only(remaining 3 people), assuming that the two fellows board the 4-vehicle capacity or

##5C4 ×1 ##way only(2 fellows plus 1 person) , assuming that the two fellows board the vehicle holding 3 occupants...which gives

##10+5=15##

we have ##7!=5040##

now for the second part, i get a bit confused here ok, i merged the last two fellows and now i have 6 items...

therefore i will have ##6C4 ##× the remaining ##3## can be arranged in 1 way only= ##15## is this the correct approach?...not one of my favorite topics ...

or can i say that, the car can be filled up in this way,

##5C2 ×1## way only(remaining 3 people), assuming that the two fellows board the 4-vehicle capacity or

##5C4 ×1 ##way only(2 fellows plus 1 person) , assuming that the two fellows board the vehicle holding 3 occupants...which gives

##10+5=15##

Last edited:

- #3

- 5,695

- 2,473

I agree with your solution.

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