Permutations Formula

તરીકે પણ ઓળખાય છે: nPr Formula, Arrangement Formula

P(n, r) = \frac{n!}{(n-r)!}

P(n,r) = n! / (n-r)!

તે શું ગણતરી કરે છે

Counts the number of ways to arrange r items from a set of n, where ORDER MATTERS.

પ્રતીક	નામ	એકમ	વર્ણન
n	Total Items	—	Total number of items to choose from
r	Items Chosen	—	Number of items being arranged

1P(5,3) = 5! / (5-3)! = 5! / 2!

2= 120 / 2 = 60

પરિણામ: 60

Permutations = order matters. Combinations = order doesn't matter.

C(n,r) = n! / (r!(n-r)!)

#combinatorics#probability#counting