BUS 223 Lecture 3: POSSIBILITIES
POSSIBILITIES:
Multiplication Rule:
Multiplication of Choices:
• Choosing one item from a group, or choosing one item from multiple groups.
• The key is that you choose exactly one item from each distinct group
FORMULA:
n1*n2*n3* ………*nr
Combinations:
• Choosing more than one item from each distinct group and order does not
matter
• This is for a single group or multiple groups when order does not matter
nCr = n!__
r!(n-r)!
Permutations:
• Choosing more than one item from each distinct group, and order matters
• May be for a single group, or multiple groups, when order matters
nPr = ___n!___
(n-r)!
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Document Summary
Multiplication of choices: choosing one item from a group, or choosing one item from multiple groups, the key is that you choose exactly one item from each distinct group n1*n2*n3* *nr. Combinations: choosing more than one item from each distinct group and order does not matter, this is for a single group or multiple groups when order does not matter ncr = n!__ r! (n-r)! Permutations: choosing more than one item from each distinct group, and order matters, may be for a single group, or multiple groups, when order matters npr = ___n!___ (n-r)! Possibilities - work sheet - qnm 222 - statistics: a sales representative must call on five customers in the same area. In how many ways can the representative arrange his itinerary: third year students at a college must choose three courses, ranked in order of preference, from eight courses offered.