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Name: Ms. Kinder Factorials, Permutations, & Combinations Date: Period # Factorial: the product of integers from the given number to 1. Ex. 5! (five factorial) 5! 5 4 3 2 1 120 GRAPHING CALCULATOR
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How to fill out factorials permutations amp combinations?
01
Find the factorial: To calculate a factorial, multiply a given number by all the numbers below it until you reach 1. For example, the factorial of 5 (written as 5!) is calculated as 5 x 4 x 3 x 2 x 1 = 120.
02
Calculate permutations: Permutation is the arrangement of objects in a specific order. To calculate the number of permutations, use the formula: nPr = n! / (n - r)!, where n represents the total number of objects and r represents the number of objects being selected.
03
Determine combinations: Combination is the selection of objects without considering their order. To calculate the number of combinations, use the formula: nCr = n! / (r!(n - r)!), where n represents the total number of objects and r represents the number of objects being selected.
Who needs factorials permutations amp combinations?
01
Mathematicians: Factorials, permutations, and combinations are fundamental concepts in mathematics. Mathematicians use them in various areas such as probability theory, statistics, combinatorics, and algebra.
02
Scientists: Many scientific fields, including physics, chemistry, and biology, rely on factorials, permutations, and combinations for data analysis, experimental design, and modeling.
03
Engineers: Engineers often use permutations and combinations when solving problems related to optimization, scheduling, and resource allocation. These concepts help them find the most efficient and effective solutions.
04
Computer scientists: Factorials, permutations, and combinations are frequently used in algorithms and data structures, particularly in areas like cryptography, machine learning, and graph theory.
05
Economists: Economists use factorials, permutations, and combinations in economic modeling, game theory, and decision-making analysis.
06
Business professionals: Factorials, permutations, and combinations can be relevant for business professionals involved in market research, forecasting, and strategic planning.
07
Students: Students studying mathematics, computer science, statistics, or related fields need to learn and apply factorials, permutations, and combinations in their coursework and problem-solving exercises.
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