That's an easy one six factorial, of course. 6x5x4x3x2x1=your answer
the word "caring" has 6 letters and none repeat so it is 6 factorial 6! = 6x5x4x3x2x1 = 720 ways
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
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
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.
A Factorial (6!= 6x5x4x3x2x1)
The answer is 6x5x4x3x2x1 720
6! = 6x5x4x3x2x1 = 720 arrangements
It is possible in only 6! = 6x5x4x3x2x1 or 720 ways.
That's an easy one six factorial, of course. 6x5x4x3x2x1=your answer
the word "caring" has 6 letters and none repeat so it is 6 factorial 6! = 6x5x4x3x2x1 = 720 ways
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
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
THAT IS THE FORMULA! Just solve that! Formulas are only needed to calculate certain measurements or numerals in algebraic equations used to determine things like a radius, or diameter of a circle.
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.
To calculate the odds of winning lotto where choose say 6 numbers out of 40 for example the calculation is 40X39X38X37X36X35 divided by 6X5X4X3X2X1 or about 3.8 million to 1 on any one line. If you have 45 numbers to choose from it would be 45X44X43X42X41X40/6X......etc or about 8.2 million to 1.
That depends. Are all the positions equal, will they all just be members of the committee or will there be a chairman, vice-chairman, secretary, treasurer, etc.? Assuming all are equal positions, then order of selection does not matter, then (25x24x23x22x21x20)/(6x5x4x3x2x1) = 177,100