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Let A = { x | x<=9, x in N}. Let B = { a...

Let A = { x | x<=9, `x in N`}. Let B = { a,b,c} be the subset of A where (a+b+c) is a multiple of 3. What is the largest possible number of subsets like B?

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`A/3 => 0,1,2 ` rem
`(a+b+c)` is a multiple of 3
`a/3 , b/3, c/3`
now re`-> 0 , 0, 0 = .^3C_3= 1`
`1,1,1 = .^3C_3= 1`
`1,2,0 = .^3C_1.^3C_1.^3C_1= 27`
`2,2,2= .^3C_3= 1`
`A = { 1,2,3,4,5,6,7,8,9}`
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