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Question

Find the number of combinations of $$50$$ things $$46$$ at a time.


Solution

$$^{n}{C}_{r}=\dfrac{n!}{r!(n-r)!}$$

Selecting $$46$$ out of $$50$$ is 

$$^{50}{C}_{46}=\dfrac{50!}{46!4!}=\dfrac{50\times49\times48\times47}{24}=2,30,300$$

Maths

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