TS EAPCET (Engineering) Binomial Coefficients — practice questions
43 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice TS EAPCET (Engineering) Binomial Coefficients in the app →The entries of row 5 of Pascal's triangle add up to 32. What do the entries of row 6 add up to?What is 1 + 16 + 36 + 16 + 1, the sum of squares of the entries of row 4 of Pascal's triangle?Which row of Pascal's triangle has every entry except its 1s divisible by the row number?The entries of row 8 are added and subtracted alternately, starting with plus. What is the result?How many odd numbers appear in row 6 of Pascal's triangle?Row 8 of Pascal's triangle has how many odd entries?In how many ways can 3 workers be hired from 7 candidates?From 12 students, a pair is picked for a quiz. How many pairs are possible?Using the multiplicative formula, what is 6 choose 3?If n choose 2 equals 28, what is n?In a league every pair of teams plays once and there are 45 matches. How many teams are there?What is the value of 8 choose 3 plus 8 choose 4?The identity n choose k = (n-1 choose k-1) + (n-1 choose k) is known as which rule?How many subsets does a set of 6 elements have?What is the sum of 9 choose k for k = 0 to 9?Entries of row 6 in positions 0, 2, 4 and 6 are added. What is the total?What is the coefficient of x cubed in the expansion of (1 + x) to the power 5?Using (100 - 1) cubed, what is 99 cubed?Row 4 of Pascal's triangle is 1, 4, 6, 4, 1. Which number is 11 to the power 4?What is the coefficient of x to the power 4 in (1 + x) squared times (1 + x) cubed?Which entry is the largest in row 10 of Pascal's triangle?Which row of Pascal's triangle has entries that add up to 1024?Counting the top row as row 0, in which row is the second entry 12?In the standard numbering, what is the topmost row of Pascal's triangle called?The diagonal entries 1, 3, 6, 10, 15 form which kind of numbers?If rows are left-justified, the diagonal bands sum to which sequence?Colouring only the odd numbers in Pascal's triangle resembles which fractal?Which ancient Indian poet's counting of metres used a pyramidal expansion equal to Pascal's triangle?What is Pascal's triangle called in Iran?Who printed the full triangle on the frontispiece of a business calculations book in 1527?In which year was Pascal's treatise on the arithmetical triangle published after his death?In which century was the triangle known in China through Jia Xian?As n grows, the binomial distribution from row n approaches which distribution?Multiplying polynomials corresponds exactly to which operation on coefficient lists?What is 1 + 25 + 100 + 100 + 25 + 1, the sum of squares of row 5 entries?The sum of squares of row n equals the middle entry of which row?In row 6, what is the sum of the three middle entries?If k is greater than n, how is the binomial coefficient commonly defined?In (1 + x) to the power n, the coefficient of which term is n choose k?How many 5-bit words made of 0s and 1s contain exactly two 1s?In the multiplicative formula, what does the denominator k factorial correct for?How many 4-element subsets does the set {1, 2, ..., 8} have?A pizza shop offers 9 toppings. How many ways can a customer pick 3 different toppings?