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Question Number 21491 by dioph last updated on 24/Sep/17

$$\mathrm{If}Y\mathrm{is}\mathrm{a}\mathrm{non}-\mathrm{void}\mathrm{set},\mathrm{define}{Y}^T\mathrm{to}\mathrm{be}$$$$\mathrm{the}\mathrm{collection}\mathrm{of}\mathrm{all}\mathrm{functions}\mathrm{with}$$$$\mathrm{domain}T\mathrm{and}\mathrm{range}Y.\mathrm{Show}\mathrm{that}$$$$\mathrm{if}T\mathrm{and}Y\mathrm{are}\mathrm{finite}\mathrm{sets}\mathrm{with}m\mathrm{and}$$$$n\mathrm{elements},\mathrm{then}{Y}^T\mathrm{has}{n}^m\mathrm{elements}.$$

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