For each of the following problems, you should write your answer as an expression. Do notgive the final numeric value. For example, if your answer is the number of6-permutations of a set with 10 elements, you should write P(10,6) or 10!/4! or 10 × 9 × 8 ×7 × 6 × 5, but not 151200. (25 pt., 5 pt. each) A French pastry shop sells 15 different flavors of macarons. Assumethat it has an unlimited supply of each type. How many ways are there to choose 12macarons from these 15 flavors if...3.1...they are all the same flavor?3.2 ...they are all different flavors?3.3 ...half are one flavor and half are a different flavor (for example, half are raspberry andhalf are chocolate)?3.4...at most 4 are salted caramel?3.5 ...at least 2 are pistachio and at least 4 are hazelnut?

3.1 The number of ways to choose 12 macarons from 15 flavors if they are all the same flavor is:This…

Answered: For each of the following problems, you…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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P1 P2 P3 P4 A pentagonal number is one that corresponds to dots arranged into a pentagon. Above are the first four pentagonal numbers and their pentagons. The pentagonal number PN has sides made of N dots. When you count the dots for a pentagonal number, include the dots for the inner pentagons. So to figure out how many dots PN has, find out how many P(N-1) has and add the dots for the new sides of size N. P1 = 1, P2 = 5, P3 = 12, P4 = 22 Figure out a recursive formula for PN and then write a function that implements it. That is, implement pentagonal() using recursion. pentagonal(1) -> 1 pentagonal(2) -> 5 pentagonal(3) -> 12
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int X[10]={2,0,6,11,4,5,9,11,-2,-1); From the code above, what is the value of X[8] ?
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