Question

Seven different object must be divided among three
people .In how many ways can this be done
if one or two of them can get no objects ?

Answer 1

\(\large \color{black}{\begin{align}
& \normalsize \text{Seven different object must be divided among three}\hspace{.33em}\\~\\
& \normalsize \text{people .In how many ways can this be done}\hspace{.33em}\\~\\
& \normalsize \text{if one or two of them can get no objects ?}\hspace{.33em}\\~\\
& a.)\ 15120 \hspace{.33em}\\~\\
& b.)\ 2187 \hspace{.33em}\\~\\
& c.)\ 3003 \hspace{.33em}\\~\\
& d.)\ 792 \hspace{.33em}\\~\\
\end{align}}\)

Answer 2

dbca

Answer 3

Seven different objects.

Notice that each object has 3 different states,
each object can go to one of : {person1, person2, person3}

So total possible ways = 3*3*3*3*3*3*3 = 3^7 = 2187

Answer 4

thanks

Answer 5

did this sentence changes any thing

"if one or two of them can get no objects"

Answer 6

yes, that means, one or more can get 0 objects

Answer 7

obviously all 3 of them cannot get 0 objects
because you must give away the 7 objects

Answer 8

(0, 0, 7)

represents the situation :
0 objects to person1
0 objects to person2
7 objects to person3

Answer 9

ok thnks