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726No-Adjacent Ones Count 1How many binary strings of length 8 contain exactly 3 ones and no two ones are adjacent?脑筋急转弯简单brainteaser未尝试免费731Positive Composition Count 1How many ordered compositions of 10 into 4 positive parts are there?脑筋急转弯中等brainteaser未尝试免费736Lattice Paths with Fixed Turns 1How many lattice paths from (0,0) to (5,4) using right and up steps have exactly 3 turns?脑筋急转弯简单brainteaser未尝试免费741Committee-with-Chair Count 1From 8 labeled people, how many ordered pairs (committee, chair) are there where the committee has size 3 and the chair is a member of the committee?脑筋急转弯简单数值题未尝试免费746Multiset Word Count 1How many length-7 strings contain exactly 3 A's, 2 B's, and 2 C's?脑筋急转弯简单数值题未尝试免费747Route Through a Checkpoint 2How many lattice paths from (0,0) to (7,5) pass through (3,2)?脑筋急转弯简单brainteaser未尝试免费748Two-Stage Allocation Count 3How many ways can 9 identical tokens be split into 3 positive piles and then choose one token from the largest-index nonempty pile to mark?脑筋急转弯中等brainteaser未尝试免费749Subset-Path Correspondence 4How many lattice paths from (0,0) to (4,6) are there?脑筋急转弯中等数值题未尝试免费750Domino Strip Tiling 5How many domino tilings does a 2-by-8 board have?脑筋急转弯困难数值题未尝试面试订阅5666Balanced Parenthesis CountHow many ways can you arrange 5 left and 5 right parentheses in a row so that every prefix has at least as many left as right parentheses (i.e. the sequence is balanced)?脑筋急转弯中等数值题未尝试免费