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.
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
Ah, what a delightful question! That's called the factorial of 6, which is denoted as 6!. It's the product of all positive integers up to 6. Isn't it just wonderful to see how numbers can come together in such a harmonious way?
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