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Question Number 210290 by Adeyemi889 last updated on 05/Aug/24

Answered by mr W last updated on 05/Aug/24

(i)  C_3 ^7 C_3 ^6 =700 ways  (ii)  C_6 ^7 +1=8 ways  (iii)  C_6 ^(13) =1716 ways

$$\left({i}\right) \\ $$$${C}_{\mathrm{3}} ^{\mathrm{7}} {C}_{\mathrm{3}} ^{\mathrm{6}} =\mathrm{700}\:{ways} \\ $$$$\left({ii}\right) \\ $$$${C}_{\mathrm{6}} ^{\mathrm{7}} +\mathrm{1}=\mathrm{8}\:{ways} \\ $$$$\left({iii}\right) \\ $$$${C}_{\mathrm{6}} ^{\mathrm{13}} =\mathrm{1716}\:{ways} \\ $$

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