Latest TCS Aptitude Question SOLUTION: 49 members attended a a party. 22 are male and 27 are female. The shake hands are done between males, females, males and females. Total 12 people given shake hands. Total how many

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(#M40019277) TCS Logical Reasoning question Handshake Keep an EYE

49 members attended a a party. 22 are male and 27 are female. The shake hands are done between males, females, males and females. Total 12 people given shake hands. Total how many such shake hands are possible?

Asked In TCS avishek (10 years ago)

Unsolved Read Solution (13)

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Read Solution (13) :

Ish Mishra  (10 years ago)

Male and female are given to distract you.

As it basically tells you that there are 12 people shaking hands.
Each handshake involves two people.

Using formula : 12C2=66
Answer:66

Is this solution Helpfull? Yes (45) | No (1)  

santosh kumar  (10 years ago)

for n number of people=n*(n-1)/2
so for 12 people 12*(12-1)/2=66

Is this solution Helpfull? Yes (12) | No (2)  

Ravirengasamy  (10 years ago)

Total members 12.
(possibility are all are males or all or females or 1 male and 11 female or 2 male 10 females........)
let all r males or females
handshakes = 11+10+9+8+.....+1=66(n(n+1)/2--->sum of series)
let 1 Male and 11 Females
handshakes between females are 10+9+8+....+1=55
handshakes between 11 females and one male=11
so total handshakes is 66...
(like this all the possible groups gives the same value 66)

Is this solution Helpfull? Yes (5) | No (1)  

Abhijit pandya  (10 years ago)

132.. every person has possibility to shake hand 11 times with other 11 guys.. so total possibility of hand shae is 32

Is this solution Helpfull? Yes (2) | No (2)  

RINTAMOL JOSEPH  (10 years ago)

Let n be the no.of members then,
total shake hands=n(n-1)/2
=12*11/2=66

Is this solution Helpfull? Yes (2) | No (1)  

RINTAMOL JOSEPH  (10 years ago)

Let n be the no.of members then,
total shake hands=n(n-1)/2
=12*11/2=66

Is this solution Helpfull? Yes (2) | No   

Ragavendran  (10 years ago)

Don't confuse about hand shakes between male, female,male and female.

12 people given handshakes..and hence 11+10+9+8+7+6+5+4+3+2+1

and totally 66

Is this solution Helpfull? Yes (2) | No   

pritam banerjee  (10 years ago)

1> 2,3,4,5,6,7,8,9,10....11 .. 11 handshakes
2> 3,4,5,6,7,8,9,10, 10handshake
3> 4,5,6,7,8,9, .. 9handshake
4 > similarly . 8 handshakes
5 >
6 >
7 >
8 >
9 >

Add them all = sum of 11 natural no .= {n*(n+1)/2} here n=11 ans :
66 handshakes...

Is this solution Helpfull? Yes (2) | No (1)  

ravi teja  (10 years ago)

ans:66,12th person gives shake hands to 11 members & 11th one gives to 10 members leaving count of 12th member and soon.
1+2+3............+11=(11*12)/2=66

Is this solution Helpfull? Yes (2) | No (1)  

sowndarya muddapu  (10 years ago)

Very simple formula for all kinds of handshake problems is
nc2=n(n-1)/2
so here n= number of persons given handshakes=12
12(11)/2=66

Is this solution Helpfull? Yes (1) | No   

GOWRABATHUNI RAJESH  (9 years ago)

the total number of peoples are 12

each shake hand involves the two people.

therefore total number of shake hands are 12c2=66

Answer is 66

Is this solution Helpfull? Yes (1) | No (1)  

Abhijit pandya  (10 years ago)

sorry in my above solution by mistake i wrote 32.. its 32.. coz 132.. every person has possibility to shake hand 11 times with other 11 guys.. so total possibility of hand shae is 132

Is this solution Helpfull? Yes | No (3)  

santu pal  (9 years ago)

ans is:49c12*12c2

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