Question

1. If five cards are dealt consecutively from a standard deck, how many ways are there to deal first an ace, second a seven, third an eight, fourth a ten, and fifth a face card?

Answer 1

many ways are there to deal first an ace, second a seven, third an eight, fourth a ten, and fifth a face card

There are 4 aces , Number of ways to deal first an ace = =4

There are 4 sevens, Number of ways to deal second a seven = =4

There are 4 eights, Number of ways to deal third an eight = =4

There are 4 tens, Number of ways to deal fourth a ten = =4

Face cards = 4 jacks + 4 queens + 4 kings =12

There are 12 face cards, Number of ways to deal fifth a face card = =12

Number of ways to deal first an ace, second a seven, third an eight, fourth a ten, and fifth a face card = 4x4x4x4x12=3072