The number of different groups of cookies he can choose from the 12 cookies is 220
<h3>How to determine the number of different groups of cookies he can choose from the 12 cookies?</h3>
The given parameters are:
Number of cookies, n = 12
Selected cookies, r = 3
The number of different groups of cookies he can choose from the 12 cookies is calculated as:
Numbers = 12C3
The combination formula is represented as:
nCr = n!/(n - r)!r!
Substitute the known values in the above equation
Numbers = 12!/(12 - 3)!3!
Evaluate the difference in the above equation
Numbers = 12!/9!3!
Expand the above equation
Numbers = 12*11*10*9!/9!3!
Evaluate the quotient
Numbers = 12*11*10/3!
Expand the above equation
Numbers = 12*11*10/3*2*1
Evaluate the products
Numbers = 1320/6
Evaluate the quotients
Numbers = 220
Hence, the number of different groups of cookies he can choose from the 12 cookies is 220
So, the complete parameters are:
Number of cookies, n = 12
Selected cookies, r = 3
Number of selection = 220
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brainly.com/question/11732255
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