Permutations, Combinations And Binomial Theorem Flashcards
1
Q
ⁿpᵣ
A
ⁿpᵣ= n!/(n-r)!
2
Q
ⁿCᵣ
A
ⁿCᵣ = n!/(n-r)!r!
3
Q
ⁿCᵣ₋₁ + ⁿCᵣ =
A
ⁿCᵣ₋₁ + ⁿCᵣ = ⁿ⁺¹Cᵣ
4
Q
Product of n consecutive integers is divisible by….
A
n!
5
Q
When things are identical, permutations become…
A
Combination
6
Q
The expansion (a+b)ⁿ has how many terms
A
(n + 1) terms
7
Q
ⁿC₁ + ⁿC₂ + ⁿC₃ +…..ⁿCₙ = ?
A
ⁿC₁ + ⁿC₂ + ⁿC₃ +…..ⁿCₙ = 2ⁿ
8
Q
What is absolute term?
A
Term independent of y, ie power of y=0
9
Q
Total no: of terms in the expansion of
(a+b)ⁿ + (a-b)ⁿ
A
if n is even:
No: of terms = (n/2) + 1
If n is odd:
No: of terms = (n+1)/2
