Not enough sleep or disruptions to the sleep-wake cycle (such as those that may occur with shift work or travelling to a different time zone) cause the physiological state known as fatigue. Staying awake for 24 hours leads to a reduced hand-to-eye coordination that is similar to having a blood alcohol content of 0.1.
There are 13 hearts in a standard 52 card deck. There are also 13 diamonds, 13 spades and 13 clubs.
How many 4-card hands are there consisting entirely of diamonds? SOLUTION: As there are 13 diamonds in a standard deck of 52 cards, we are counting the number of combinations of 4 cards chosen from the 13 diamonds in the deck. This gives 13 C 4 = 13 P 4 / 4! = (13Ã12Ã11Ã10) / (4Ã3Ã2Ã1) = 17160 / 24 = 715 hands consisting entirely of diamonds. c. How many 4-card hands are there containing at least 2 clubs?