Grade 12Algebra
FinD thE waYs in WhiCh a 3 diGit numBer caN Be fOrmEd uSinG thE nuMeraLs3,4,5,6 with repEtitiOn anD DivisiBlE bY 3
FinD thE waYs in WhiCh a 3 diGit numBer caN Be fOrmEd uSinG thE nuMeraLs3,4,5,6 with repEtitiOn anD DivisiBlE bY 3
1 Answer
Arun
Dear student
If we want that number ahould be divisible by 4 then sum of numbers should be divisible by 3.
Hence 4 and 5 must be used.
Now we have to find the numbers made by (3 or6), 4, 5.
Or only 6 and 3 is used.
Hence
663, 636, 366, 336, 363, 633, 333, 666, 453, 543, 345, 354, 435, 534, 456, 546, 346, 356, 465, 564
Hence there are only 20 numbers
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