Answer:
Step-by-step explanation:
Given that there are six different toys and they are to be distributed to three different children.
The restraint here is each child gets atleast one toy.
Let us consider the situation as this.
Since each child has to get atleast one toy no of ways to distribute
any 3 toys to the three children each. This can be done by selecting 3 toys from 6 in 6C3 ways and distributing in 3! ways
So 3 toys to each one in 6x5x4 =120 ways
Now remaining 3 toys can be given to any child.
Hence remaining 3 toys can be distributed in 3x3x3 =27 ways
Total no of ways
= 120(27)
= 3240
Answer:
d. r > 0, V(r) > 0
Step-by-step explanation:
The radius represent a measure of lenght and the volume a measure of space, and both, lenght and space, cannot be negative, so both have to be > 0
-23 over 5 ÷ 11 over 5
-23 × 5 over 5 × 5
-115 over 55
Therefore, your answer would be: -2 and 1 over 11
Answer: ![y=\dfrac15 x +1](https://tex.z-dn.net/?f=y%3D%5Cdfrac15%20x%20%2B1)
Step-by-step explanation:
Since argument is the value of independent variable x .
Here y= 1 when x = 0.
![\dfrac{dy}{dx}=\dfrac15](https://tex.z-dn.net/?f=%5Cdfrac%7Bdy%7D%7Bdx%7D%3D%5Cdfrac15)
![\Rightarrow\ dy=\dfrac15 dx](https://tex.z-dn.net/?f=%5CRightarrow%5C%20dy%3D%5Cdfrac15%20dx)
Taking integration on both sides , we get
![\int dy = \dfrac15 \int dx\\\\\Rightarrow\ y= \dfrac15 x +c](https://tex.z-dn.net/?f=%5Cint%20dy%20%3D%20%5Cdfrac15%20%5Cint%20dx%5C%5C%5C%5C%5CRightarrow%5C%20y%3D%20%5Cdfrac15%20x%20%2Bc)
Put y=1 and x=0 [given] , then
![1= 0+c\\\\\Rightarrow\ c=1](https://tex.z-dn.net/?f=1%3D%200%2Bc%5C%5C%5C%5C%5CRightarrow%5C%20c%3D1)
Hence, the function will be
![y=\dfrac15 x +1](https://tex.z-dn.net/?f=y%3D%5Cdfrac15%20x%20%2B1)