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  • A coach wants to distribute a certain number of medals between two athletes. Each athlete must receive at least one medal. In how many ways can the coach distribute the medals if there ar

A coach wants to distribute a certain number of medals between two athletes. Each athlete must receive at least one medal. In how many ways can the coach distribute the medals if there are 128 ways in total?

Option: 1

15


Option: 2

18


Option: 3

21


Option: 4

12


Answers (1)

best_answer

Each player is eligible for any number of medals.

Let the number of medals be x. 

Thus, 

\begin{aligned} & 2^x=128 \\ & 2^x=2^7 \\ & x=7 \mid \end{aligned}

Therefore, the number of medals the athlete can receive is 12.

Posted by

Deependra Verma

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