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Published byReynold Preston Modified over 9 years ago
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Factorials!
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What is a Factorial? A factorial is the result of multiplying a sequence of descending whole, positive numbers. For example, 4 x 3 x 2 x 1
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How do we represent this? Because mathematicians like to have a symbol for everything, they came up with one for factorials! How can we write 4 x 3 x 2 x 1 4 x 3 x 2 x 1 = 4!
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The Factorial Function Essentially, the symbol ! means to multiply all of the whole, positive numbers that are equal to or less than the value in front of ! Evaluate: 4! 6! 1!
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We can use previously calculated factorials to find new ones Use the chart to fill in the missing values nn! 11!= 1 22!= 2 x 1= 2 x 1! 33! 44! 55! 66!
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Example If 9! = 362, 880, find the value of 10!
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What about 0! Zero Factorial is interesting Just like many other properties involving 0, including 2⁰ = 1, we can evaluate 0! It is generally agreed that 0! = 1
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A List of Factorials nn! 01 11 22 36 424 5120 6720 75,040 840,320 9362,880 103,628,800 1139,916,800 12479,001,600 136,227,020,800 1487,178,291,200 151,307,674,368,000 1620,922,789,888,000 17355,687,428,096,000 186,402,373,705,728,000 19121,645,100,408,832,000 202,432,902,008,176,640,000 2151,090,942,171,709,440,000 221,124,000,727,777,607,680,000 2325,852,016,738,884,976,640,000 24620,448,401,733,239,439,360,000 2515,511,210,043,330,985,984,000,000
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Example Evaluate 7! 4!
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Example Evaluate 8! 3!
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Example Evaluate 11! 6!
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Example Evaluate 9! 5!4!
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Example Evaluate 12! 7!5!
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Example Write 7! + 8! as the product of a whole number and a factorial number. (Do not calculate the factorials)
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Example Write 60! + 61! as the product of a whole number and a factorial number. (Do not calculate the factorials)
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Example Write 11! - 10! as the product of a whole number and a factorial number. (Do not calculate the factorials)
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Example Write 19! - 17! as the product of a whole number and a factorial number. (Do not calculate the factorials)
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Example
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