SOLUTION: I am a senior in high school and want to know if my answer is correct. How many different ways are there for an admissions officer to select a group of 7 college candidates from a

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Question 127242: I am a senior in high school and want to know if my answer is correct. How many different ways are there for an admissions officer to select a group of 7 college candidates from a group of 19 applicants for an interview? Answer: 133
Answer by MathLover1(20855) About Me  (Show Source):
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Permutation Formula
The number of permutations of+n objects taken r at a time is:
P%28n%2Cr%29=n%21%2F%28n-r%29%21
The permutation formula is when order+matters
P%2819%2C7%29=19%21%2F%2819-7%29%21
P%2819%2C7%29=19%21%2F12%21




P%2819%2C7%29=19%2A18%2A17%2A16%2A15%2A14%2A13
P%2819%2C7%29=253955520..........if order+matters

Combination Formula
The number of combinations of+n objects taken r at a time is:
C%28n%2Cr%29=n%21%2Fr%21%28n-r%29%21..........orderdoes not+matters


C%2819%2C7%29=19%21%2F7%21%2819-7%29%21

C%2819%2C7%29=19%21%2F%287%2112%21%29









C%2819%2C7%29=%2819%2A17%2A4%2A2%2A13%29
C%2819%2C7%29=%2833592%29