Card Pack Overview

A standard deck of playing cards contains a total of 52 cards. These cards are divided into four suits, and each suit has a specific color and set of ranks.

• Suits: There are four suits in a deck:
  • Two red suits: Hearts ($\heartsuit$) and Diamonds ($\diamondsuit$)
  • Two black suits: Clubs ($\clubsuit$) and Spades ($\spadesuit$)
• Cards per Suit: Each suit has 13 cards: Ace (A), 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack (J), Queen (Q), and King (K).

Understanding Face Cards

Face cards are specific cards within a deck that depict faces. These include the King, Queen, and Jack of each suit.

• In each suit, there are 3 face cards: King (K), Queen (Q), and Jack (J).
• Since there are 4 suits, the total number of face cards in a standard 52-card pack is $3 \text{ face cards/suit} \times 4 \text{ suits} = 12$ face cards.

Let's break down the face cards by color:

• Red Face Cards:
  • Hearts: King, Queen, Jack (3 cards)
  • Diamonds: King, Queen, Jack (3 cards)
  Total red face cards = $3 + 3 = 6$ cards.
• Black Face Cards:
  • Clubs: King, Queen, Jack (3 cards)
  • Spades: King, Queen, Jack (3 cards)
  Total black face cards = $3 + 3 = 6$ cards.

Calculating Remaining Cards

The question states that "All the face cards of the colour are removed from the ordinary pack of cards." The phrase "of the colour" implies that face cards of a single specific color (either red or black) are removed.

Based on our analysis:

• Number of red face cards = 6
• Number of black face cards = 6

If we remove all face cards of 'the colour', it means we remove 6 face cards (either all red face cards or all black face cards). The outcome for the number of remaining cards will be the same regardless of whether red or black face cards are removed.

The calculation is as follows:

Therefore, after removing all the face cards of one specific color, the number of cards remaining in the pack is 46.