Question

There are 12 face cards in a standard deck of 52 cards. How many ways can you arrange a standard deck of 52 cards such that the first card is a face card?

Answer 1

Answer:

Total number of required ways = 12 × 51!

Step-by-step explanation:

Number of total cards in the deck = 52

Number of face cards in the deck = 12

Now, we need to find the number of ways such that the first card is always a face card

Now, first card is face card so number of cards left to be arranged = 52 - 1 = 51

Number of ways to arrange 51 cards = 51!

Also, Number of face cards = 12

So, Total number of required ways = 12 × 51!