Question

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?

Answer 1

@isaac4321

Answer 2

combinations of 4 from 6 = 6C2

Answer 3

?

Answer 4

have you seen that notation before 6C2?

Answer 5

- thats the answer to the first question about shirts

Answer 6

6C2 is equivalent to 6C4

Answer 7

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

Answer 8

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

Answer 9

yes osprey has the formula
a short way of working it out is

6*5
---
2*1

Answer 10

- 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

Answer 11

6C2 means the number of combinations of 2 from 6

Answer 12

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

Answer 13

ohhh

Answer 14

thank you

Answer 15

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.

Answer 16

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

Answer 17

is d correct for 2

Answer 18

No

- in which one do you have a different result if there is a different arrangement?

Answer 19

Hint: Click

Answer 20

b

Answer 21

lol yes

Answer 22

different arrangement - different picture

Answer 23

thanx

Answer 24

get it now? i think you do

yw