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Question-205683




Question Number 205683 by cortano12 last updated on 27/Mar/24
$$\:\:\:\:\: \\ $$
Commented by mr W last updated on 27/Mar/24
1632×3!=9792  all options given are wrong.
$$\mathrm{1632}×\mathrm{3}!=\mathrm{9792} \\ $$$${all}\:{options}\:{given}\:{are}\:{wrong}. \\ $$
Answered by MM42 last updated on 27/Mar/24
(A) 60×10!
$$\left({A}\right)\:\mathrm{60}×\mathrm{10}! \\ $$
Commented by MM42 last updated on 27/Mar/24
for red → 3!  for black    1) 4,2,2,2  → 4×10!  2)  3,3,2,2 → 6×10!  ⇒ans = 3!×10!×10=60×10!
$${for}\:{red}\:\rightarrow\:\mathrm{3}! \\ $$$${for}\:{black}\: \\ $$$$\left.\:\mathrm{1}\right)\:\mathrm{4},\mathrm{2},\mathrm{2},\mathrm{2}\:\:\rightarrow\:\mathrm{4}×\mathrm{10}! \\ $$$$\left.\mathrm{2}\right)\:\:\mathrm{3},\mathrm{3},\mathrm{2},\mathrm{2}\:\rightarrow\:\mathrm{6}×\mathrm{10}! \\ $$$$\Rightarrow{ans}\:=\:\mathrm{3}!×\mathrm{10}!×\mathrm{10}=\mathrm{60}×\mathrm{10}! \\ $$$$\: \\ $$

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