Elitmus
Exam
Numerical Ability
Permutation and Combination
There are people at the party including Abhishek and Aishwarya. If Abhishek shook hands with m woman as many times as men and aishwarya shook hands with n men as many times as woman.
Find how many people were there at the party. If n = 4 and m = 3.
Read Solution (Total 5)
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- The basic formula to note in handshake problems is nc2 though the handshake is 1 but the people are 2.Here,they have already given the values of n and m so apply the formula nc2=4c2=6 and mc2=3c2=3.Therefore,6+3=9
- 6 years agoHelpfull: Yes(5) No(2)
- Abishek shook hands with 3 women = no of men =3 +1 including Abhi
Aish shook with 4 men = no of woman = 4 + 1 including Aish
total = 4+3+2 = 9 - 7 years agoHelpfull: Yes(4) No(0)
- As given in the question,
Abhishek shook hands with m woman and Aishwarya shook hands with n men,
then total no. of people= m+n= 3+4=7.
(because it is not given that Abhishek did not shake hands with Aishwarya, so as per question we have to understand that Aishwarya was included in the woman). - 7 years agoHelpfull: Yes(3) No(0)
- men=mc2(3c2)=3 women =nc2(4c2) ans=9
- 7 years agoHelpfull: Yes(1) No(4)
- Abhishek shook hands: 3C2
Aishwarya shook hand =4C2
3C2 + 4C2 =3+6=9 - 6 years agoHelpfull: Yes(0) No(1)
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