Jan 4, 2021 · (a) To find out how many different groups of 5 problems could be chosen from 14, apply the combination formula with n=14 and r=5: 14C5 = 14! / [(14-5)! * 5!] = 2002 different groups. (b) Jerry did only 5 problems. The probability that the problems he completed came up for grading is 1 (his selection) divided by the total possible selections (2002). May 20, 2019 · The number of groups of 5 people that can be selected from a total of 17 to answer 5 different phone lines is 6188. This is a combinatorics problem calculated using the combinations formula. Explanation: The question is asking us to determine how many groups of 5 people out of 17 people can answer the 5 different phone lines in an office. This Dec 21, 2023 · Total number of ways = 120 6 × 2 + 120 2 × 6 × 6 2 × 1 2 = 10 + 30 2 = 10 + 15 = 25. Hence, the number of ways can five people be divided into three groups is 25. Note: In these types of questions always use the concept of the topic “Permutation and Combination”. But first we have to analyze whether the given problem is related to Alternatively One student A can select the other one of his group in $^5C_1$ ways . If B is another student who does not belong in the group A, we can select the other one of his group $^3C_1$ ways the remaining two consists of the third group. = 5 $\times 3 \times 1$ But as per my understanding : I used : $^6C_2$ which is equal to 15. The Philippines is inhabited by more than 182 ethnolinguistic groups, [1] : 5 many of which are classified as "Indigenous Peoples" under the country's Indigenous Peoples' Rights Act of 1997. Traditionally-Muslim peoples from the southernmost island group of Mindanao are usually categorized together as Moro peoples, whether they are classified Math Advanced Math 7. A computer programming team has 13 members. a. How many ways can a group of seven be chosen to work on a project? b. Suppose seven team members are women and six are men. (i) How many groups of seven can be chosen that contain four women and three men? Mar 23, 2022 · How many groups with 6 people can be selected if there must be exactly 4 women in the group? 00:21 A team of 5 members is to be formed from 5 men and 6 women . in how many ways can this be done if the team should consist of : (1) atleast 3 women (2) atmost 3 women The ratio of men to women working for a company is 5 : 7. If the total employees are 204, how many women work for the company? Lily receives 30 messages on her cell phone. Of those messages, 1/5 are picture messages and 7/8 of the remainder are text messages. How many text messages does she receive? There are 8 primary (1 o) C’s, 7 secondary (2 o) C’s, 2 tertiary (3 o) C’s and 2 quaternary (4 o) C’s in the structure (seen color coded below). 3.3: Alkyl Groups is shared under a CC BY-SA 4.0 license and was authored, remixed, and/or curated by Steven Farmer, Dietmar Kennepohl, Zachary Sharrett, Krista Cunningham, Tim Soderberg How many groups of (9)/(5) are in 1 ? groups Evaluate. 6-:(9)/(5) This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. iCyPCf.