2. 外语
  3. BENEFITS AND INCENTIVES SURVEY RESULTS FOR 600 COMPANIES Note：each shaded cell is the intersection of a benefit column and an i

BENEFITS AND INCENTIVES SURVEY RESULTS FOR 600 COMPANIES Note：each shaded cell is the intersection of a benefit column and an i

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问题 BENEFITS AND INCENTIVES SURVEY RESULTS FOR 600 COMPANIES

Note：each shaded cell is the intersection of a benefit column and an incentive row and contains the number of companies (out of the 600 surveyed) that offer both that benefit and that incentive. For example, 195 of the companies surveyed offer both a disability-insurance benefit and a profit-sharing incentive.
A certain benefits and incentives package consists of 2 benefits to be chosen from the benefits offered by more than 1/2 of all the companies surveyed and 1 incentive to be chosen from the incentives offered by more than 1/3 of all the companies surveyed. How many such packages are possible?
选项
答案12
解析 本题是图表题。题目的标题含义是600家公司福利和激励措施的民意调查。阴影格的数字是同时有某种福利和激励措施的公司数，最右列是有某种福利的公司数，最下面的一行是有某种激励措施的公司数。本题问的是从在600个公司里超过1/2的公司拥有的福利中任选2种福利，超过1/3的公司拥有的激励措施里任选1种激励措施，把它们组成一个套餐，问这种套餐有几种可能?解题思路如下：
超过1/2的公司拥有的激励措施总共有4种，要从中选2种，则有C42=6种选法；超过1/3有公司拥有的福利总共有2种，要从中选1种，则有C21=2种选法；用乘法原理：这种套餐共有6×2=12种可能；所以答案是12。
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