Question

In how many ways 20 two rupees coins can be distributed among 4 children

Answer 1

$\bold{Answer:}$

$\bold{11732745024}$

$\bold{Step} - \bold{by} - \bold{step\ explanation:}$

$20 two rupee coins are distributed among 4 children. \\ \\ \therefore\ \frac{20}{4} = 5 two rupee coins are distributed among 1 child. \\ \\ Among 20 coins, let me indicate 5 coins each for 1^{st}\ child as 1, 2^{nd}\ child as 2, 3^{rd}\ child as 3 and 4^{th}\ child as 4. \\ \\ The following is one distribution arrangement. \\ \\ 1 1 1 1 1 \ 2 2 2 2 2 \ 3 3 3 3 3 \ 4 4 4 4 4$

$From this, we got a clear picture to find the answer. \\ \\ Use the method to find it, which is used when a question like ``How many words can be formed by rearranging the letters in the word" is asked. \\ \\ I.e., \\ \\ \frac{20!}{5! \times 5! \times 5! \times 5!} = \bold{11732745024}$

$I'm not almost sure of this answer. I searched about the answer but they're confusing. Hope this may be helpful. \\ \\ Thank you. Have a nice day. \\ \\ \\ \#adithyasajeevan$