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Find the Total Number of Ways in Which 20 Balls Can Be Put into 5 Boxes So that First Box Contains Just One Ball ?

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प्रश्न

Find the total number of ways in which 20 balls can be put into 5 boxes so that first box contains just one ball ?

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उत्तर

Any one of the twenty balls can be put in the first box. Thus, there are twenty different ways for this.
Now, remaining 19 balls are to be put into the remaining 4 boxes. This can be done in`4^19` ways because there are four choices for each ball.
∴ Required number of ways =`20xx4^19`

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अध्याय 16: Permutations - Exercise 16.2 [पृष्ठ १६]

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आर.डी. शर्मा Mathematics [English] Class 11
अध्याय 16 Permutations
Exercise 16.2 | Q 44 | पृष्ठ १६

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