Ino-Shika-Chō is one of the most famous yaku: the Boar, the Deer and the Butterflies. It is worth a flat 5 points. Extra animals beyond these three do not raise this yaku; they count toward the general Animals (Tane) yaku instead.

July · Boar

October · Deer

June · Butterfly
The three cards are also animal cards (tane), so Ino-Shika-Chō often appears together with Animals. In Hanafuda Legends, Ino-Shika-Chō itself is always 5 points; every extra animal after you have five animals overall adds points on the separate Animals yaku (1 point at five animals, then +1 per extra).
The name simply lists the three animals: ino (boar), shika (deer) and chō (butterfly). The combination is so well known in Japan that the manga Naruto named its famous Ino–Shikamaru–Chōji team after it.
Three specific cards from three different months are easy to block, so Ino-Shika-Chō is often a race. If you capture two of them, look for the third month in your hand and on the field. Your opponent will be doing the same.
June, July and October do not sit next to each other in the calendar, so Ino-Shika-Chō rarely falls into your lap by accident. After you capture the first of the three, the other two months become contested. Watch your opponent's hand size and the field: if they just took the Deer, your Boar and Butterflies are suddenly the whole story of the round.
Ino-Shika-Chō uses the same Nintendo-style Koi-Koi scoring on Hanafuda Legends whether you play ranked, casual, private rooms, or vs computer. Set yaku replace smaller versions of the same family (you do not score Sankō and Shikō together), while unrelated yaku such as ribbons, animals and chaff still add to your total when you stop.
If you are new to the combination, practise in the tutorial or against the computer first, then take it into online play. How to Play covers the turn structure, matching, and when to call Koi-Koi versus stopping for points.