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Mathematics 7 Online
OpenStudy (mathmath333):

Counting question

OpenStudy (mathmath333):

\(\large \color{black}{\begin{align} & \normalsize \text{The number of ways of dividing 20 different balloons }\hspace{.33em}\\~\\ & \normalsize \text{in two groups containing 11 and 9 balloons is ? }\hspace{.33em}\\~\\ \end{align}}\)

ganeshie8 (ganeshie8):

you choose 11 balloons for the first group the other group is automatically determined

OpenStudy (anonymous):

i agree with ganeshie8

OpenStudy (mathmath333):

is answer 20C11

ganeshie8 (ganeshie8):

Yes, notice, that also equals 20C9 and agrees with our present problem that you could have chosen the balloons for the second group first

OpenStudy (mathmath333):

answer given is 20C11*9C9

ganeshie8 (ganeshie8):

20C11 looks correct to me! textbook answer could be wrong, doesn't make sense to m

OpenStudy (mathmath333):

but 9C9=1

ganeshie8 (ganeshie8):

lol okay i read it as 20C11*20C9 for some reason

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