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mathmath333
 one year ago
\(\large \color{black}{\begin{align}& \normalsize \text{If }\ F(x,n)\ \text{be the number of ways distributing }\ "x" \hspace{.33em}\\~\\
& \normalsize \text{toys to }\ "n" \ \text{children so that each child receives at most 2 toys , }\ \hspace{.33em}\\~\\
& \normalsize \text{then }\ F(4,3)=\underline{\quad \quad} \hspace{.33em}\\~\\
\end{align}}\)
mathmath333
 one year ago
\(\large \color{black}{\begin{align}& \normalsize \text{If }\ F(x,n)\ \text{be the number of ways distributing }\ "x" \hspace{.33em}\\~\\ & \normalsize \text{toys to }\ "n" \ \text{children so that each child receives at most 2 toys , }\ \hspace{.33em}\\~\\ & \normalsize \text{then }\ F(4,3)=\underline{\quad \quad} \hspace{.33em}\\~\\ \end{align}}\)

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mathmath333
 one year ago
Best ResponseYou've already chosen the best response.0\(\large \color{black}{\begin{align}&a.)\ 2 \quad \quad &b.)\ 6 \hspace{.33em}\\~\\ &c.)\ 3 \quad \quad &d.)\ 4 \hspace{.33em}\\~\\ &e.)\ 5 \hspace{.33em}\\~\\ \end{align}}\)

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.0that information is not given in the question

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.0but from the context of the question i assume that the toys are same

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0It depends on whether they're same or not but suppose that they are same and we have 3 children and 4 toys and we want to distribute them.There is two possibilities 112 and 220 because it says each child receives at most 2 .It can't be 103 we know this.So moving on; A) 112 one child is lucky because he/she gets most :) you can select in 3 ways the lucky child but the mathematical expression is 3!/2! (Actually we put them in order 112 121 211) So we have 3. B)220 in that case two of them are having all toys.Select 2 children among 3 can be found by the same way 3!/2! It is also 3. The result is 3+3=6 The theory behind it is permutation with repetition.I hope it helps you:)
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