Math Algebra Pt.8

• power of x is decreasing

• power of y is increasing

• sum of exponents in each term=n

• number of terms = n - 1

A triangular array numbers forming the coefficient of the expansion of a binomial is called

• egyptian triangle

• golden triangle

• pascal's triangle

• bermuda triangle

• n

• n - 1

• n + 1

• n/2

How is a number in the Pascal's triangle obtained?

• by getting the product of the two numbers directly above it.

• by getting the sum of the two numbers directly above it.

• by getting the difference of the two numbers directly above it.

• by getting the mean of the two numbers directly above it.

If the sign between the terms of the binomial is negative, its expansion will have signs which are

• all positive

• all negative

• alternate starting with positive

• alternate starting with negative

In the absence of the Pascal's triangle, the coefficient of any term of the binomial expansion can be obtained by dividing the product of coefficient of the preceding term and exponent of x of the preceding term by _____ of the preceding term

• the exponent of y

• the exponent of y + 1

• the exponent of y - 1

• the square root of y

The fundamental principle of counting states that id one thing can be done in ``m'' different ways and another thig can be done in ``n'' different ways, then two things can be done in ______ different ways.

• m + n

• m x n

• m! + n !

Is the arrangement of the objects in specific order.

• permutation

• combination

• probability

• any two of the above

Is the arrangement of objects regardless of the order they are arranged

• permutation

• combination

• probability

• any two of the above

The shifting of the entire order sequence of elements one or more steps forwards to backward - the first element taking the position of the last, or vice versa without charging the order of the elements in the sequence is called

• inversion

• cyclic permutation

• transposition

• identical elements