Combinations
https://maa.org/taxonomy/term/41742/all
enRubberbanding and Holding Out
https://maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/rubberbanding-and-holding-out
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p><i>Counting techniques for sequences of zeros and ones</i></p>
</div></div></div>Locating Multiples of Primes in Pascal's Triangle
https://maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/locating-multiples-of-primes-in-pascals-triangle
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p><i>Finding multiples of a prime in Pascal's triangle visually</i></p>
</div></div></div>The Power Rule and the Binomial Formula
https://maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/the-power-rule-and-the-binomial-formula
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p><i>Using the power rule for derivatives to prove the Binomial Theorem (instead of the reverse).</i></p>
</div></div></div>Pizza Combinatorics
https://maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/pizza-combinatorics
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p><em>Describes and solves combinatorial problems related to pizza toppings</em></p>
</div></div></div>The Gaps Between Consecutive Binomial Coefficients
https://maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/the-gaps-between-consecutive-binomial-coefficients
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p><em>The authors determine both maximum and minimum of the gap between two consecutive binomial coefficients in any row of Pascal's triangle.</em></p>
</div></div></div>The Number-Pad Game
https://maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/the-number-pad-game
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p><em>A number game and the discussion of probabilities of winning</em></p>
</div></div></div>Construction of Pascal's Triangle
https://maa.org/programs/faculty-and-departments/course-communities/construction-of-pascals-triangle
Summing Cubes by Counting Rectangles
https://maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/summing-cubes-by-counting-rectangles
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p><em>Starting with a homework problem on combinations, the capsule applies the "checkerboard" logic to derive identities involving summing squares and cubes. </em></p>
</div></div></div>Pizza Combinatorics Revisited
https://maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/pizza-combinatorics-revisited
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p><em>This article provides a calculation of the number of pizzas with different toppings to point out the mistakes in a commercial by a national pizza chain.</em></p>
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