Pascal’s triangle relations and the binomial theorem (HSC SSCE Mathematics Extension 1): Quizzes

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Pascal’s Triangle Relations and the Binomial Theorem
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What defines the numbers in Pascal's Triangle?

Sum of two above numbers

What does the Binomial Theorem express?

The expansion of powers of sums

What are the coefficients in the second row of Pascal's Triangle?

1, 1

What is the total of the 4th row?

16

What does nCr represent?

The number of combinations of n items

How is symmetry shown in Pascal's Triangle?

Numbers mirror each other

What is the coefficient for x^2y in (x+y)^3?

3

What is the formula for the Binomial Theorem?

(a+b)^n = ∑(n choose k) a^(n-k) b^k

What is the 3rd number in the 4th row?

6

What is the use of binomial coefficients?

To calculate probabilities

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