How many groups of four shirts can you choose from six shirts?
Determine if the word problem is a permutation or a combination, then evaluate.
Which question below is a permutation?
How many different teams of four runners can a coach choose from a group of seven runners?
You and three friends want to line up next to one another for a picture. How many ways can the picture be taken?
You want to choose three pairs of shorts from five to go on vacation. How many groups of three pairs of shorts can you choose?
How many groups of five movies can be chosen from 11?

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- anonymous

- jamiebookeater

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- anonymous

- welshfella

combinations of 4 from 6 = 6C2

- anonymous

?

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## More answers

- welshfella

have you seen that notation before 6C2?

- welshfella

- thats the answer to the first question about shirts

- welshfella

6C2 is equivalent to 6C4

- anonymous

\[_{n}C _{r} = \frac{ n! }{ r!\left( n-r \right)! }\]\[_{6}C _{2} = \frac{ 6! }{ 2!\left( 4! \right) }\]

- anonymous

its asking for a number not a 6C2 lol im confused

- welshfella

yes osprey has the formula
a short way of working it out is
6*5
---
2*1

- welshfella

- starting with 6 then going down to 5 because of the 2
6C4
= 6*5*4*3
------
4*3*2*1
which works out to the same value

- welshfella

6C2 means the number of combinations of 2 from 6

- welshfella

so for the first part its
6*5 / 2*1 = 15

- anonymous

ohhh

- anonymous

thank you

- welshfella

yw
The difference between combinations and permutations is that the order does not matter in combinations. The groups of 4 shirts can be in any order.

- welshfella

Now for the second part there is one in which the order matters
which do you think it is?

- anonymous

is d correct for 2

- welshfella

No
- in which one do you have a different result if there is a different arrangement?

- welshfella

Hint: Click

- anonymous

b

- welshfella

lol yes

- welshfella

different arrangement - different picture

- anonymous

thanx

- welshfella

get it now? i think you do
yw

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