![aliceohern](/avatars/31126.jpg)
aliceohern
25.06.2019 •
Mathematics
Adeck of 14 cards numbered 1 through 14 is dealt to ken and gunther so that each gets 7 cards. each player's score is the sum of his card values, and the player with the lower score wins. how many different winning scores are there?
Solved
Show answers
More tips
- S Style and Beauty How to Make Your Lips Fuller? Ideas and Tips for Beautiful Lips...
- C Computers and Internet How to Learn to Type Fast?...
- A Art and Culture Who Said The Less We Love a Woman, the More She Likes Us ?...
- F Family and Home Parents or Environment: Who Has the Most Influence on a Child s Upbringing?...
- H Health and Medicine Is it true that working with a computer is harmful to your eyesight?...
- H Health and Medicine Boosting Immunity: A Complete Guide on How to Improve Your Body’s Natural Defenses...
- P Philosophy Unidentified Flying Object - What is the Nature of this Phenomenon?...
- C Computers and Internet How to Teach Older Generations to Work with Computers?...
- G Goods and services How to Choose a Coffee Maker? The Ultimate Guide for Coffee Lovers...
- C Computers and Internet Porn Banner: What It Is and How to Get Rid Of It?...
Answers on questions: Mathematics
- M Mathematics -. Chloe received $20.00 for her birthday. She bought 3 books for $3.59 each. How much money does Chloe have left?...
- M Mathematics What is the intercept of y=x3? to 202104 o...
- M Mathematics Function f(x) has a jump discontinuity at x = 8. Which statement identifies possible one-sided limits at x = 8? Limit of f (x) as x approaches 8 minus DNE and Limit...
- M Mathematics Solve the Mixed Powers Equation (3x^5-y)2...
- M Mathematics the function g(x) is 1/2 |x| is a formation of the absolute value parent function. what is function g(x)?...
- M Mathematics Tell a joke funniest joke gets Brainliest and fre.e points...
- M Mathematics Need help! Look at photo (no links please)...
- M Mathematics Does anyone have the answer?...
- M Mathematics Find the area of the figure....
- M Mathematics How do you do 4x+2=14...
Ответ:
The different winning scores possible are 25 (from 28 to 52).
Step-by-step explanation:
The minimum score obtained by a player will be 28.since, we divide 1-7 numbered to one and 8-14 to the other player such that one receives the maximum and the other receives the minimum.
the least minimum possibility is :28 as one get the card as(1,2,3,4,5,6,7).
while the other player gets 77 sum and loses.
for increasing this score now we give the number 1,2,3,4,5,6,8 to one of the player so that they sum upto 29 and will get the minimum score and wins while the other player gets 76 sum with the help of numbers{9,10,11,12,13,14,7} and loses. next possible minimum sum to win will be 30 by assigning 1,2,3,4,5,6,9 whereas the other gets the sum 75 and loses.continuing in the same way we see that the minimum sum obtained to win will be 52( by assigning 2,3,6,7,9,12,13) while the other gets the sum 53 and loses.Hence, there are total 25 winning scores possible. (from 28 to 52 i.e. 52-28=25).
Ответ: