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Question Number 123695 by pipin last updated on 27/Nov/20
There are how many ways to answer  5 out of 7 multiple choice question with  5 choices?
$$\boldsymbol{\mathrm{There}}\:\boldsymbol{\mathrm{are}}\:\boldsymbol{\mathrm{how}}\:\boldsymbol{\mathrm{many}}\:\boldsymbol{\mathrm{ways}}\:\boldsymbol{\mathrm{to}}\:\boldsymbol{\mathrm{answer}} \\ $$$$\mathrm{5}\:\boldsymbol{\mathrm{out}}\:\boldsymbol{\mathrm{of}}\:\mathrm{7}\:\boldsymbol{\mathrm{multiple}}\:\boldsymbol{\mathrm{choice}}\:\boldsymbol{\mathrm{question}}\:\boldsymbol{\mathrm{with}} \\ $$$$\mathrm{5}\:\boldsymbol{\mathrm{choices}}? \\ $$
Answered by mr W last updated on 27/Nov/20
C_5 ^7 ×5^5 =65625
$${C}_{\mathrm{5}} ^{\mathrm{7}} ×\mathrm{5}^{\mathrm{5}} =\mathrm{65625} \\ $$
Commented by pipin last updated on 28/Nov/20
thank you sir
$$\mathrm{thank}\:\mathrm{you}\:\mathrm{sir} \\ $$

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