The binomial expansion Flashcards

1
Q

What does the notation n! mean?

A

n(n-1)(n-2)1

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2
Q

How many ways can n objects be arranged?

A

n!

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3
Q

What does the notation ⁿCₐ mean?

A

n!/(a!(n-a)!)

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4
Q

How many ways can n objects be arranged when there’s a of one type and n-a of another?

A

ⁿCₐ

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5
Q

How can (a+b)ⁿ be expanded using the binomial expansion?

A

ΣⁿCᵣ*aʳbⁿ⁻ʳ, r=0 to n

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