HP 50g HP 50g_user's manual_English_HDPSG49AEM8.pdf - Page 152
The MTH/PROBABILITY.. sub-menu - part 1, Factorials, combinations, and permutations
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Chapter 15 Probability Distributions In this Chapter we provide examples of applications of the pre-defined probability distributions in the calculator. The MTH/PROBABILITY.. sub-menu - part 1 The MTH/PROBABILITY.. sub-menu is accessible through the keystroke sequence „´. With system flag 117 set to CHOOSE boxes, the following functions are available in the PROBABILITY.. menu: In this section we discuss functions COMB, PERM, ! (factorial), and RAND. Factorials, combinations, and permutations The factorial of an integer n is defined as: n! = n⋅ (n-1) ⋅ (n-2)...3⋅2⋅1. By definition, 0! = 1. Factorials are used in the calculation of the number of permutations and combinations of objects. For example, the number of permutations of r objects from a set of n distinct objects is n Pr = n(n − 1)(n − 1)...(n − r + 1) = n!/(n − r)! Also, the number of combinations of n objects taken r at a time is ⎜⎜⎝⎛ n r ⎟⎟⎠⎞ = n(n − 1)(n − 2)...(n r! − r + 1) = n! r!(n − r)! We can calculate combinations, permutations, and factorials with functions COMB, PERM, and ! from the MTH/PROBABILITY.. sub-menu. The operation of those functions is described next: • COMB(n,r): Calculates the number of combinations of n items taken r at a time Page 15-1