Memorise
Infinity Learn Class 9&10
What is Pascal's triangle and how is each term
calculated?
Pascal's triangle is a triangular array of numbers where each
term is the sum of the two terms above it.
What does NCr represent in Pascal's triangle?
NCr represents the combination of choosing r items from a set
of n items, where the order of selection does not matter.
How is each term in Pascal's triangle calculated?
Each term in Pascal's triangle is calculated using the
combination formula NCr, where n is the row number and r is a
number in the range 0 to n.
How can we use combinations to simplify calculations?
Using combinations can simplify calculations, especially when
expanding binomial expressions. For example, when expanding
(a + b)^n, we can use the combination formula to determine
the coefficients of each term.
What is the formula for expanding the binomial (a +
b)^n?
The formula for expanding (a + b)^n is the sum of terms where
the power of a decreases from left to right and the power of b
increases from 0 to n