3♥ 4♠ 6♦ 9♥ + A♣ cut = 2 points

What the ace of clubs contributes

Holding 3 of hearts, 4 of spades, 6 of diamonds, 9 of hearts with the ace of clubs as the cut scores 2 points in the hand.

The ace of clubs contributes no scoring combinations. The remaining 2 points come from combinations entirely within the four held cards.

Other available cuts of this rank: ace of diamonds (2 points); ace of hearts (2 points); ace of spades (2 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 2, 24 score the same (including the ace of clubs), and 24 score more.

Across all 48 possible cut cards, the score ranges from 2 to 9 points, averaging 4.25 points. This comparison treats every card outside the four-card hand as equally likely; it does not exclude known discards or other seen cards.