One card, many combos
Four fifteens (each 6 pairs with each 9) make 8. Two pairs make 4. Together that's 12 points.
To count a cribbage hand, take your four cards plus the cut card and score every combination you can find. Each set adding to fifteen is 2. Each pair is 2. A run of three or more is 1 per card. Four of a suit is 4. The Jack of the cut card's suit is 1.
The show is the last beat of the hand. Once every card has been played, both players pick their four cards back up and count them, and the dealer counts the crib as well.
You count your four cards with the cut card as a fifth card. Every distinct combination scores, and the same card can appear in several combinations. That is the whole trick, and it is why a hand can be worth far more than it first looks.
The non-dealer counts first, then the dealer's hand, then the dealer counts the crib. That order matters at the end of a game. A non-dealer can count out and win before the dealer ever gets to a monster hand.
Four fifteens (each 6 pairs with each 9) make 8. Two pairs make 4. Together that's 12 points.
fifteen · 6♠ 9♥
Tally 2 +2
fifteen · 9♦ 6♠
Tally 4 +2
fifteen · 6♣ 9♥
Tally 6 +2
fifteen · 6♣ 9♦
Tally 8 +2
pair · 6♣ 6♠
Tally 10 +2
pair · 9♦ 9♥
Tally 12 +2
12 points in all.
The pair of sixes makes the 4-5-6 run twice for 6. Add two fifteens for 4 and the pair itself for 2. That's 12 points.
fifteen · 4♣ 5♦ 6♥
Tally 2 +2
fifteen · 4♣ 5♦ 6♠
Tally 4 +2
pair · 6♠ 6♥
Tally 6 +2
run of 3 · 4♣ 5♦ 6♠
Tally 9 +3
run of 3 · 4♣ 5♦ 6♥
Tally 12 +3
12 points in all.
Three more hands follow. Press Count it and watch each combination light up in turn. When that feels easy, hide the answers and count them yourself.
Four hearts in hand, 4 points. The cut card is a club, so no fifth.
The Jack of clubs matches the club cut card. That is 1 point.
Eight fifteens make 16. A double pair royal makes 12. Add nobs for 1. That's the best hand in cribbage.
His heels is a Jack turned up as the cut card. The dealer pegs 2 on the spot, before any play. Nobs is holding the Jack of the cut card's suit. That is 1 point in the show, for whoever holds it, crib included.