Find-the-number-of-ways-in-which-n-distinct-balls-can-be-put-into-three-boxes-so-that-no-two-boxes-remain-empty-

Question Number 21406 by Tinkutara last updated on 23/Sep/17

$$\mathrm{Find}\:\mathrm{the}\:\mathrm{number}\:\mathrm{of}\:\mathrm{ways}\:\mathrm{in}\:\mathrm{which}\:{n} \\ $$$$\mathrm{distinct}\:\mathrm{balls}\:\mathrm{can}\:\mathrm{be}\:\mathrm{put}\:\mathrm{into}\:\mathrm{three} \\ $$$$\mathrm{boxes}\:\mathrm{so}\:\mathrm{that}\:\mathrm{no}\:\mathrm{two}\:\mathrm{boxes}\:\mathrm{remain} \\ $$$$\mathrm{empty}. \\ $$

Commented by mrW1 last updated on 06/Oct/17

$$\mathrm{are}\:\mathrm{the}\:\mathrm{three}\:\mathrm{boxes}\:\mathrm{identical}? \\ $$

Commented by Tinkutara last updated on 06/Oct/17

$$\mathrm{Yes}. \\ $$

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