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How many possible sets of 6 numbers from 695887?
That's an easy one six factorial, of course. 6x5x4x3x2x1=your answer
How many different ways can you arrange the letters of the word caring?
the word "caring" has 6 letters and none repeat so it is 6 factorial 6! = 6x5x4x3x2x1 = 720 ways
What is a persons chances in winning the lottery?
about 1 in 5000000 Actually it is 1/13983816 as you must work out: (6x5x4x3x2x1)/(49x48x47x46x45x44)=720/10068347520 Cancel down and you get 1/13983816 per line
How do you calculate factorial without calculator?
Factorial is calculated by taking the number and multiplying it continually by 1 less than that until you finally multiple by 1. For example 6! = 6x5x4x3x2x1 = 720
How many ways can a group of 12 including 4 boys and 8 girls be formed into two 6 person volleyball teams with no restrictions?
462 waysExplanationIn the question, it does not seem to matter how many boys or girls are on a team. So really you are asking how many ways are there to divide 12 people into two teams of 6.The answer is (12C6)/2 where 12C6 means 12 choose 6First 12 chose 6 is 12!/(12-6)!(6)! which is 12x11x10x9x8x7x6x5x4x3x2x1/(6x5x4x3x2x1)(6x5x4x3x2x1)=(12x11x10x9x8x7)/(6x5x4x3x2x1)=924(As a side note, the Google browser will calculate these numbers if you just type in 12 choose 6, for example)Now once one team of 6 is chosen, the other team is automatically the remaining 6 so we have really double counted. That is why we divide by 2 and the answeris 462 ways.
