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The number of ways by which 6 distinct balls can be put in 5 distinct boxes are
1. 7776
2. 15625
3. 720
4. 120

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Correct Answer - Option 2 : 15625

Given:

6 distinct balls can be put in 5 distinct boxes.

Calculation:

The number of ways of in n distinct objects can be put into identical boxes, so that neither one of them remains empty.

Since both the boxes and the balls are different , we can choose any box , and every choice is different at any time.

The first ball can be placed in any of the 5 boxes . Similarly , the other balls can be placed in any of the 5 boxes.

The number of ways = 56 = 15625

∴ The number of ways is 15625.

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