Maslanka’s an­swers

The Guardian Weekly - - Culture -

1 64 ways of spell­ing PYRA­MID. [With each move down in the tri­an­gle you have a bi­nary choice: to de­vi­ate to the left or to the right; so the num­ber of routes is 2 (L – 1), where L is the num­ber of lev­els (or let­ters). Here L = 7; 26 = 64.]

2 n must be odd (that is, the word must con­tain an odd num­ber of let­ters). We need to get from the top to the bot­tom by shift­ing left­wards, L, 3 times and right­wards, R, 3 times. The num­ber of ways of do­ing this is (6!)/(3!) (3!) = 20. [We need the num­ber of dis­tinct ar­range­ments of 3 Ls and 3Rs]. In gen­eral we have (n – 1)!/ [((n – 1)/2)!] 2.

Word­pool a) Same Dif­fer­ence SPIN, SPINE

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