A♥ A♠ 6♦ 7♥ + 3♣ cut = 4 points

What the 3 of clubs contributes

Holding ace of hearts, ace of spades, 6 of diamonds, 7 of hearts with the 3 of clubs as the cut scores 4 points in the hand.

The 3 of clubs contributes no scoring combinations. The remaining 4 points come from combinations entirely within the four held cards.

Other available cuts of this rank: 3 of diamonds (4 points); 3 of hearts (4 points); 3 of spades (4 points). Changing only the cut suit leaves this score unchanged.

How this cut compares

For these four held cards, 0 possible cuts score less than 4, 24 score the same (including the 3 of clubs), and 24 score more.

Across all 48 possible cut cards, the score ranges from 4 to 13 points, averaging 6.42 points. This comparison treats every card outside the four-card hand as equally likely; it does not exclude known discards or other seen cards.