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Higher Study | Mathematics | Binomial Theorem

How many terms are there in the expansion of (1 + 2x + x2)5 + (1 + 4y + 4y2)5 ?
What is the value of 2(2 × 1) + 3(3 × 2 × 1) + 4(4 × 3 × 2 × 1) + 5(5 × 4 × 3 × 2 × 1) + .................. + 9(9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1) + 2 ?
In the expansion of (1 + x)n, what is the sum of even binomial coefficients?
What is the sum of the coefficients in the expansion of (1 + x)n ?
What is the greatest integer among the following by which the number 55 + 75 is divisible?
What is the number of non-zero terms in the expansion of (1 + 2√3x)11 + (1 – 2√3x)11 (after simplification)?
What is the number of terms in the expansion of {(2x – 3y)2 (2x + 3y)2}2?
How many terms are there in the expansion of (1 + 2x + x2)10?
What is the value of C(51, 21) - C(51, 22) + C(51, 23) - C(51, 24) + C(51, 25) - C(51, 26) + C(51, 27) - C(51, 28) + C(51, 29) - C(51, 30) ?
Consider the expansion of (1 + x)n. Let p, q, r and s be the coefficients of first, second, nth and (n + 1)th terms respectively. What is (ps + qr) equal to?
What is the sum of all the coefficients in the expansion of (1 + x)n ?
Which of the following is a binomial in one variable of degree 5?
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