The affix ṅīp comes after that bahuvrīhi samāsa which ending in the syllable an loses its penultimate a,
Thus बहुराजन् is a Bahuvrihi compound ending in अन्; in applying nip, it loses is penultimate by 6.4.134 (अल्लोपोऽनः there is elision of अ of अन् when a bha affix follows). Thus बहुराज्ञी 'having many kings'. In the alternative, when nip is not added, we may add the affix डाप् by 4.1.13. Thus बहुराजा, बहुराजे, बहुराजाः ॥ Or we may apply the prohibition contained in (IV. I. 12) and have बहुराजा, बहुराजानौ, बहुराजानः ॥ when the penultimate is not elided we cannot apply the affix ङीप् at all : in cases of such compounds there are only two forms of the feminine noun as सुपर्वा, सुपर्वे, सुपर्वाः or सुपर्वा सुपर्वाणौ, सुपर्वाणः ॥ That is to say we apply 4.1.13 and 4.1.12 only; for in the case of सुपर्वन् &c. rule 6.4.137 prevents the elision of the penultimate न्; (न संयोगाद्वमनन्तात्, there is not elision of the अ of अन् when it comes after a conjunct consonant ending in व or म)॥,