Sign in
Please select an account to continue using cracku.in
↓ →
Find the number of ways of distributing five identical chocolates and six identical cookies among three children so that each child gets at least one cookie.
The number of ways of distributing $$n$$ items among $$r$$ persons isΒ $$^{n+r-1}C_{r-1}$$
If at least one item is given to each person, then the number of ways isΒ $$^{n-1}C_{r-1}$$
As there are five chocolates and three children, the number of ways isΒ $$^{n+r-1}C_{r-1}=^{5+3-1}C_{3-1}=^7C_2=21$$
For cookies, there are six cookies and we need to give at least 1 to each child, the number of ways isΒ $$^{n-1}C_{r-1}=^{6-1}C_{3-1}=^5C_2=10$$
So, the total number of ways isΒ $$21\times10=210$$
Hence, the answer is 210.
Click on the Email βοΈ to Watch the Video Solution
Create a FREE account and get:
Educational materials for CAT preparation
Ask our AI anything
AI can make mistakes. Please verify important information.
AI can make mistakes. Please verify important information.