Total number of ways or combination to choose 3 shirts from a pack of 12 are 220
According to the given question.
Total number of shirts, n = 12
Number of shirts to be selected, r = 3
As we know that, the total number of ways of selection of r objects from n objects at a time with out repalcement is given by
C(n, r) = n!/r!(n - r)!
Where,
C(n, r) = total number of ways or combinations
r is the number of objects to be selected
n is the total number of objects
Thereofore,
The total number of ways or combination to choose 3 shirts from a pack of 12
= C(12, 3)
= 12!/(3!9!)
= 12(11)(10)/3(2)
= 2(11)(10)
= 220
Hence, total number of ways or combination to choose 3 shirts from a pack of 12 are 220.
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