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Vanya Saxena Grade: Upto college level
```        1) In how many ways we can give 5 apples ,4mangoes and 3 oranges to three persons if each may recieve none,one or more?
2)A number lock has 4 dials each dial has the digits 0,1,2,.................,9.What is the maximum unsuccessful attempts to open the lock?```
8 years ago

147 Points
```										Dear Vanya
let 1st person get x1 appple ,x2 mangoes , x3 oranges
2nd  person get y1 appple ,y2 mangoes , y3 oranges
3rd person get z1 appple ,z2 mangoes , z3 oranges
so x1 +y1+ z1=5 ...........1
x2 +y2 +z2 =4...............2
x3+y3+z3 =3................3
where x1,x2,x3,y1,y2,y3.z1.z2.z3 ≥ 0
integral solution of equation 1st
5+3-1C3-1 =7C2
integral solution of equation 2nd
4+3-1C3-1 =6C2
integral solution of equation 3rd
3+3-1C3-1 =5C2
so total ways =7C26C25C2

2 question
each dial has 10 possibility
so total possibility=10*10*10*10
out of this one is succecful attemmpt
so mas unsuccesful attempt=9999

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```
8 years ago
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