NihalRi said:Homework Statement
Find the number of ways in which seven different toys can be given to three children, if the youngest vis to receive three and the others two.
Homework Equations
The Attempt at a Solution
7 combination 3 × 4 combination 2 × 2 combination 2
= 210
Is this the correct way of doing this question?
Yes still 210, hoping this means it's right?PeroK said:If you calculate it the other way round, starting with one of the children that gets two toys, do you get the same answer?
NihalRi said:Yes still 210, hoping this means it's right?
NihalRi said:Homework Statement
Find the number of ways in which seven different toys can be given to three children, if the youngest vis to receive three and the others two.
Homework Equations
The Attempt at a Solution
7 combination 3 × 4 combination 2 × 2 combination 2
= 210
Is this the correct way of doing this question?
There are 35 different ways that seven toys can be distributed among three children. This can be calculated using the formula for combinations, which is nCr = n! / (r!(n-r)!), where n is the total number of toys and r is the number of children. In this case, n = 7 and r = 3, so the calculation would be 7C3 = 7! / (3!(7-3)!) = 35.
No, it is not possible for each child to receive the same number of toys when there are seven toys and three children. This is because 7 cannot be divided evenly by 3. In order for each child to receive the same number of toys, the total number of toys would need to be a multiple of the number of children.
Yes, the toys can be distributed in any order. This means that if you have three children named A, B, and C, and seven toys labeled 1, 2, 3, 4, 5, 6, and 7, the following distributions would all be considered different: A: 1, 2, 3; B: 4, 5; C: 6, 7 and A: 1, 2, 3; B: 6; C: 4, 5, 7.
There is only one way to distribute seven toys among seven children. This is because each child will receive one toy, and there are no other possible combinations.
The minimum number of toys that each child can receive is zero, meaning that some children may not receive any toys. The maximum number of toys that each child can receive is seven, meaning that each child could potentially receive all seven toys.