Pascal's triangle applications
Apply Pascal's Rule and the row-sum and symmetry properties of Pascal's triangle. Unlimited questions, five difficulty levels, and a full worked solution every time — free.
Try one
In Pascal's triangle, row 4 contains 4 and 6 next to each other (positions 1 and 2, counting from 0). Use Pascal's Rule to find the entry directly below them, in row 5.
Answer: 10
See one solved, step by step
What is the sum of all the entries in row 4 of Pascal's triangle (row 0 is the single 1 at the top)?
📘 Worked solution
1Row 4 has entries C(4, 0), C(4, 1), ..., C(4, 4).Every row of Pascal's triangle lists every combination C(n, r) for that n.
2Sum = 24 = 16The entries in row n always add up to 2^n -- that's the total number of subsets of an n-element set.
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