MongoDB - many-many relationship select row that match a set of values -

i working on solution company , i've problem related mongodb solve. building mapping between products , suppliers. simplified structure of documents following:

product {     "id" : "1",     "name" : "any-product", },  supplier {     "id" : "99",     "name" : "acme",     "products" : [1,....] //list of products suppliers can supply } 

when need place order place least number of suppliers....the best 1 supplier can supply entire order.

that's problem: need select suppliers can supply product in given list.

i'm new mongodb , did various tests not find solution....anyway think solution not simple. consider can change structure of db meet these need. feel free propose different approach. in advance