n -r Prove that („",) : r+1
Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
![### Proving the Binomial Coefficient Identity
**Statement to Prove:**
\[
\binom{n}{r+1} = \frac{n-r}{r+1} \binom{n}{r}
\]
by computing the symbol on the left-hand side to be equal to the symbol on the right-hand side of the equality.
**Hint:**
Compute the left-hand side until you get the right-hand side with \( \binom{n}{n-r} \) instead. Then use the lecture notes on the binomial theorem section to finish the problem. At least that's how I did it.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F45fdd75f-924d-4ac4-9d15-03fc1f26bc02%2F07d8d0d2-8e2c-4a7f-9956-100e46d3903e%2Fmdip1ol_processed.png&w=3840&q=75)
Step by step
Solved in 5 steps with 5 images
