Math, asked by Anonymous, 7 months ago


1. At a party, everyone shook hands with everybody else. There were 66 handshakes. How many people were at the party?

2. It's dark. You have ten grey socks and ten blue socks you want to put into pairs. All socks are exactly the same except for their colour. How many socks would you need to take with you to ensure you had at least a pair?


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Answers

Answered by devip649110
10

Answer:

1. At a party, everyone shook hands with everybody else. There were 66 handshakes. How many people were at the party? -11 is ruled out so the answer is 12 persons.

2. It's dark. You have ten grey socks and ten blue socks you want to put into pairs. All socks are exactly the same except for their colour. ... Answer is 2 socks- if you want to have a pair.

Step-by-step explanation:

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Answered by muskmesh04
7

Answer:

1) lets say there are n persons

first person shakes hand with everyone else: n-1 times(n-1 persons)

second person shakes hand with everyone else(not with 1st as its already done): n-2 times

3rd person shakes hands with remaining persons: n-3

So total handshakes will be = (n-1) + (n-2) + (n-3) +…… 0;

= (n-1)*(n-1+1)/2 = (n-1)*n/2 = 66

= n^2 -n = 132

=(n-12)(n+11) = 0;

= n = 12 OR n =-11

-11 is ruled out so the answer is 12 persons

2) Answer is 2 socks- if you want to have a pair.

But If you want to take a matching pair the answer is going to be different

if you want to be certain that the colors of the socks match, take 10 which will give you probably one matched pair.. At least you’ll have a fifty-fifty chance of coming out on top!

I suggest that you don’t throw away the other 8 socks! Take them home and sort them by daylight and you might be able to end up with nine (9) more matching pairs.

People who are colour-blind and use socks will find most sorting options impossible, but they probably aren’t going to be upset, if the socks fit.

Step-by-step explanation:

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