many diffeent arrangments can
you have a sample of 9 flowers from pea plants. suppose 6 of them are white and 3 of thema re purple. If you line them up in a row,hoow many diffeent arrangments can you get?
now suppose 3 of them are white and 6 of them are purple. How many different arrangments can you get? does this make sense?
How many arrangments do you have for 1 white and 8 purple
how many arrangements do yo uhave for 0 white and 9 purple
You have a sample of 9 flowers. 6 of them are white and 3 of them are purple.
The formula of getting the number of different arrangement is -
nCr =
Here,
n = 9
r = 6
(n-r) = 3
Number of arrangement =
=
= (7*3*4)
= 84
So the number of arrangement is 84.
Now, 3 of them are white and 6 of them are purple.
Here,
n=9
r=3
(n-r) =6
Number of arrangement -
= 84 [as. 6!*3! = 3!*6! ]
So, the result is same as previous.
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