k!65k−1the fraction with numerator k exclamation mark and denominator 65 raised to the k minus 1 power end-fraction (Note: Since the sequence starts at , the denominator exponent is because there are terms in the product.) Calculated Values
The mathematical expression you provided follows the form of a product of fractions: (2/65)(3/65)(4/65)(5/65)(6/65)(7/65)(8/65)(9/65...
This sequence can be expressed using factorials. For any given , the product is: consult a professional.
AI responses may include mistakes. For legal advice, consult a professional. Learn more (2/65)(3/65)(4/65)(5/65)(6/65)(7/65)(8/65)(9/65...
∏n=2kn65=(265)(365)(465)(565)(665)(765)(865)(965)…(k65)product from n equals 2 to k of n over 65 end-fraction equals open paren 2 over 65 end-fraction close paren open paren 3 over 65 end-fraction close paren open paren 4 over 65 end-fraction close paren open paren 5 over 65 end-fraction close paren open paren 6 over 65 end-fraction close paren open paren 7 over 65 end-fraction close paren open paren 8 over 65 end-fraction close paren open paren 9 over 65 end-fraction close paren … open paren k over 65 end-fraction close paren General Formula
: Calculations for specific "matching" problems or variations of the Birthday Paradox (though usually with a denominator of 365).
: Sequences like "2/65, 3/65" are frequently seen in genetics or medical research representing the frequency of a specific trait or genotype within a small study sample.