2♣ 2♠ 6♣ 7♦ + 3♣ cut = 6 points

What the 3 of clubs contributes

Holding 2 of clubs, 2 of spades, 6 of clubs, 7 of diamonds with the 3 of clubs as the cut scores 6 points in the hand.

The 3 of clubs contributes no scoring combinations. The remaining 6 points come from combinations entirely within the four held cards.

Other available cuts of this rank: 3 of diamonds (6 points); 3 of hearts (6 points); 3 of spades (6 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 6, 24 score the same (including the 3 of clubs), and 24 score more.

Across all 48 possible cut cards, the score ranges from 6 to 12 points, averaging 8.17 points. This comparison treats every card outside the four-card hand as equally likely; it does not exclude known discards or other seen cards.