Question Number 224398 by Mingma last updated on 08/Sep/25

Commented by mr W last updated on 08/Sep/25

$${are}\:\mathrm{10}−\mathrm{5}−\mathrm{8},\:\mathrm{10}−\mathrm{8}−\mathrm{5},\:\mathrm{5}−\mathrm{10}−\mathrm{8} \\ $$$${different}\:{combinations}? \\ $$
Commented by Mingma last updated on 09/Sep/25
They are just examples
Commented by mr W last updated on 09/Sep/25

$${i}\:{know}\:{they}\:{are}\:{examples}.\:{but}\:{are} \\ $$$${they}\:\mathrm{3}\:{different}\:“{combinations}''\:{or} \\ $$$${they}\:{are}\:{the}\:{same}\:“{combination}''? \\ $$
Commented by Mingma last updated on 09/Sep/25
I would love to see your solution for both same and different combinations, Prof!
Commented by mr W last updated on 09/Sep/25

$${to}\:{select}\:{the}\:{first}\:{number}\:{there}\:{are} \\ $$$$\mathrm{40}\:{possibilities}. \\ $$$${to}\:{select}\:{the}\:{second}\:{number}\:{there}\:{are} \\ $$$$\mathrm{35}\:{possibilities}. \\ $$$$\mathrm{40}×\left(\mathrm{2}×\mathrm{32}+\mathrm{2}×\mathrm{31}+\mathrm{31}×\mathrm{30}\right)=\mathrm{42240}\:\checkmark \\ $$