In: Statistics and Probability
How many ways can a person toss a coin 9 times so that the number of tails is between 5 and 7 inclusive?
Number of tails is between 5 and 7 = number of tails is 5 + number of tails is 6 + number of tails is 7
= 9C5 + 9C6 + 9C7
= [9! / (5! * 4!)] + [9! / (6! * 3!)] + [9! / (7! * 2!)]
= 126 + 84 + 36
= 246 (ans)