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Question

There are 5 different boxes and 7 different balls. All the 7 balls are to be distributed among the 5 boxes placed in a row so that any box can receive any number of balls.

Suppose all the balls are identical, then in how many ways can all these balls be distributed among these boxes?

A
110
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B
220
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C
330
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D
440
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Solution

The correct option is C 330
Putting it in the equation form, we get
a + b + c + d + e = 7 => Required number of ways =7+51C51
=11C4=330

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