Hat is the lateral area of this regular octagonal pyramid? 149.3 cm² 182.9 cm² 211.2 cm² 298.7 cm² the figure shows a regular octagonal pyramid. a dashed line segment is shown perpendicular to a base edge with its second endpoint being the center of the base and has a length of 8 centimeters. a second dashed line segment has one endpoint at the center of the base and the second endpoint at the vertex of the pyramid and has a length of 8 centimeters. a base edge has a length of 6.6 centimeters.

Suppose we have a set of small wooden blocks showing the 26 letters of the english alphabet, one letter per block. (think of scrabble tiles.) our set includes 10 copies of each letter. we place them into a bag and draw out one block at a time. (a) if we line up the letters on a rack as we draw them, how different ways coukl we fill a rack of 5 letters? (b) now suppose we just toss our chosen blocks into a pile, and whenever we draw a letter we already have, we put it back in the bag and draw again. how many different piles of 5 blocks could result? possible? piles will contain at least one repeated letter? (c) if we draw out 5 blocks wit hout looking at them, how many different piles are (d) if we draw out 5 blocks without looking at them, how many of the possible 2. (4) consider the following formula. 12 give two different proofs, one using the factorial formulas and the other combina torial.