What is the number of distinct terms in the expansion?

The number of distinct terms will be the number of ways you can assign non-negative integral powers , , , , and , such that a general term looks like , where . , i.e. the term multiplied by itself 10 times.

What is the number of distinct terms in the expansion of a B C to the power 20?

the, next term will give 20 terms, similarly third term produces 19 term and so on. Hence the total no. of terms in the expansion ; ( 21 +20 +19 +······· ···· +3 +2 + 1 ) = 231 .

What is the number of distinct terms in the expansion of P Q R S 10?

The number of distinct terms = arrangement of 10 zeroes and 3 ones = 13C3=286.

What is distinct term?

distinct, separate, discrete mean not being each and every one the same. distinct indicates that something is distinguished by the mind or eye as being apart or different from others. two distinct versions separate often stresses lack of connection or a difference in identity between two things.

How many distinct terms are in the expansion XYZW 30?

4060
a) 4060.

Which term is 2x 3y 12?

8th term
8th term.

How many terms are in the binomial expansion of?

two terms
A binomial is a polynomial with two terms.

What is distinct number?

In math, the term distinct number is used to refer to a number in a set that is not equal to another number. For example, the set of numbers {1, 2} contains the two distinct numbers 1 and 2, which can be proven by evaluating different traits of each number.

How many distinct terms exist in the expansion X Y Z W 302?

The number of distinct terms in the expansion of (X + Y + Z + W)30 are : a) 4060.

How do you find the number of distinct terms in an expansion?

Observe that when you multiply these 10 terms together, you will always get terms of degree 10, i.e. each term in the expansion will have the sum of powers of , , , and summing up to 10. The number of distinct terms will be the number of ways you can assign non-negative integral powers , , , , and , such that a general term looks like , where .

What is the total number of terms in the expansion (x+y) n?

The total number of terms in the expansion of (x+y) n are (n+1) The sum of exponents of x and y is always n. nC 0, nC 1, nC 2, ….., nC n are called binomial coefficients and also represented by C 0, C 1, C 2, ….., C n

What are the properties of binomial expansion in math?

Properties of Binomial Expansion. There are a few main properties of binomial expansion. These properties are discussed below: The total number of terms in the expansion of (x+y) n are (n+1) The sum of exponents of x and y is always n. nC 0, nC 1, nC 2, … nC n are called binomial coefficients and also represented by C 0, C 1, C2, … C n.

What is the number of terms in (X + a) n – (x−A) N?

The number of terms in the expansion of (x + a) n − (x−a) n are (n/2) if “n” is even or (n+1)/2 if “n” is odd. Binomial coefficients refer to the integers which are coefficients in the binomial theorem. Some of the most important properties of binomial coefficients are: