carlyfaith5084
carlyfaith5084
01-05-2018
Mathematics
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17. Evaluate a. 6! b. 8P5 c. 12C4
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sheavner
sheavner
01-05-2018
the factorial ! just means we multiply by every natural number less that the value so
6! =6×5×4×3×2×1= 720
for permutations we use the formula n!/(n-r)!
so we have 8!/(8-5)!=8!/3!=8×7×6×5×4
for combinations s we have n!/(n-r)!r!
so we have 12!/(12-4)!4!=12!/8!4!=12×11×10×9/4×3×2=11×10×9/2=99×5
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