Comparison of combination and permutation


Assignment:

Q1. Terminology and symbols. Please interpret the symbol P(B ¦ A) and explain what is meant by the expression. Why is P(B ¦ A) not the same as P(B) ?

Q2. Consider the formulas:  nPr = n! / (n - r)!  and   nCr = n! / (n - r)!r!

a. Given the same values for n and r in each formula, which is the smaller value, P or C? n = 10 and r = 2.

nPr = n! / (n - r)!  = 10! / (10 – 2)! = 90

nCr = n! / (n - r)!r!  = 10! / (10 – 2)!2! = 45

Value C is smaller.

How does this relate to the concept of counting the number of outcomes based on whether or not order is a criterion?

Provide complete and step by step solution for the question and show calculations and use formulas.

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Algebra: Comparison of combination and permutation
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