limitedPermutation.js

const obj = { 1: {}, 2: {}, 3: {} }

const calculateLimitedPermutation = (pFn , aFn, o) => {
   const recurse = (index = 0, xs = []) => {
     const arr = Object.keys(o)
     if ( arr.length === 0 ) return o;
     const types = arr.reduce(
       (acc, key, idx) =>
       idx === index
       ? { ...acc, ...{ [key]: pFn(key) } }
       : { ...acc, ...{ [key]: aFn(key) } },
       {}
     )
     const xy = xs.concat(types)
     return xy.length === arr.length ? xy : recurse(++index, xy)
  }
  return recurse()
}


calculateLimitedPermutation(key => `${key}-a`, key => `${key}-b`, obj) // [{"1": "1-a", "2": "2-b", "3": "3-b"}, {"1": "1-b", "2": "2-a", "3": "3-b"}, {"1": "1-b", "2": "2-b", "3": "3-a"}]