Math, asked by sonubiswas894, 9 months ago

In a class of nine students, each students sends valentine cards to three others. Determine whether it is possible that each student receives cards from the same three students to whom he or she sent cards.

Answers

Answered by amitnrw
0

Given :   In a class of nine students, each students sends valentine cards to three others

To find : Determine whether it is possible that each student receives cards from the same three students to whom he or she sent cards.

Solution:

number of students = 9

Each students Send card to three others

Hence total Card Distributed  = 9 * 3 = 27

it is not possible that each student receives cards from the same three students to whom he or she sent cards.

Similar transaction need to be in pair to happen this

like  a  sent  b  =>  b sent a

Hence total transaction need to be in even number  

but transactions are in odd number hence  not possible

if it have been 8 students     then it would have been possible

sender  receiver

1        2 3 4

2        1 3 4

3        1 2 4

4        1 2 3

5        6 7 8

6        5 7 8

7        5 6 8

8        5 6 7

Learn more:

a card is drawn from a well shuffled pack of 52 playing cards find the ...

https://brainly.in/question/13610904

Similar questions