TI 84 Factorial Calculator - Free - 2022
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Video: Compute Factorials using the TI-84 Calculator
Factorial n! - Formula, Real Life Usage and Properties. Factorial Formula n! = n*(n-1)*(n-2)*...*3*2*1 List of first 12 Factorials: [Christmas is coming ;-) ] 0!=1 1!=1 2!=2*1=2 3!=3*2*1=6 4!=4*3*2*1=24 5!=5*4*3*2*1=120 6!=6*5*4*3*2*1=720 7!=7*6*5*4*3*2*1=5,040 8!=8*7*6*5*4*3*2*1=40,320 9!=9*8*7*6*5*4*3*2*1=362,880 10!=10*9*8*7*6*5*4*3*2*1=3,628,800 11!=11*10*9*8*7*6*5*4*3*2*1=39,916,800 Real Life Usage: n! gives the number of rearrangements of n objects.
Example 1: 2 letters AB can be rearranged in 2!=2 ways: AB and BA Example 2: 3 letters ABC can be rearranged in 3!=6 ways: ABC,ACB,BAC,BCA,CAB,CBA Example 3: 4 letters ABCD can be rearranged in 4!=24 ways: Looking at ABC, the letter D can be placed before A, before B, before C or after C, that's 4 ways. Multiply that by the 6 different arrangements yields 6*4 or 3!*4 = 24. DABC,ADBC,ABDC,ABCD, DACB,ADCB, ..... , CBAD Example 4: 4 letters ABCA can be rearranged in 4!/2!=12 ways: AABC,ABAC,ABCA,BAAC,BACA,BCAA,CAAB,CABA,CBAA,DAAB,DABA,DBAARecursive Property: n! = n*(n-1)! or solved for n: n = n!/(n-1)!
Example 1: 3!=3*2! = 3*2 Example 2: 4!=4*3! = 4*6 Example 3: 5!=5*4! = 5*24 To compute n! just multiply the previously computed (n-1)! by n. This may save a lot of time and mental energy. Example 4: 10!/9! = 10*9*8*7*6*5*4*3*2*1 / 9*8*7*6*5*4*3*2*1 = 10 since all integers on top and bottom cancel out except for the 10 on top. No need to compute 10! or 9!. Example 5: For the same reason 678!/677! = 678 . Example 6: How about 102!/100! ? I will let you figure this one out... Online Calculators with Steps (Free)- TI-84 Online Calculator
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