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Question Number 55115 by aseerimad last updated on 17/Feb/19

Commented by aseerimad last updated on 17/Feb/19

please help....

Commented by mr W last updated on 17/Feb/19

question is not clear. does the boy have  4 kinds of marbles and each of them  has 6 different colours? i.e. there are  totally 24 marbles? should the 3 marbles  be arranged around a circular table?

$${question}\:{is}\:{not}\:{clear}.\:{does}\:{the}\:{boy}\:{have} \\ $$$$\mathrm{4}\:{kinds}\:{of}\:{marbles}\:{and}\:{each}\:{of}\:{them} \\ $$$${has}\:\mathrm{6}\:{different}\:{colours}?\:{i}.{e}.\:{there}\:{are} \\ $$$${totally}\:\mathrm{24}\:{marbles}?\:{should}\:{the}\:\mathrm{3}\:{marbles} \\ $$$${be}\:{arranged}\:{around}\:{a}\:{circular}\:{table}? \\ $$

Commented by aseerimad last updated on 17/Feb/19

yes.

Commented by mr W last updated on 17/Feb/19

then the answer is  C_3 ^( 24) ×(3−1)!=4048  or  (P_3 ^( 24) /3)=4048

$${then}\:{the}\:{answer}\:{is} \\ $$$${C}_{\mathrm{3}} ^{\:\mathrm{24}} ×\left(\mathrm{3}−\mathrm{1}\right)!=\mathrm{4048} \\ $$$${or} \\ $$$$\frac{{P}_{\mathrm{3}} ^{\:\mathrm{24}} }{\mathrm{3}}=\mathrm{4048} \\ $$

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