There are $15$ persons in a party and each person shakes hand with another, then total number of handshakes is?

${}^{15}{P_{2}}$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

${}^{15}{C_{2}}$

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

$15!$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$2 (15!)$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B
${}^{15}{C_{2}}$

Explanation for the correct answer
Given: $15$ persons
Handshakes happen between two people.
Total number of handshakes between $15$ people $= {}^{15}{C_{2}}$
Hence, option (B) is correct .

Suggest Corrections

Similar questions

12

In there are $12$ persons in a party, and if each two of them shake hands with each other, how many handshakes happen in the party ?

There are 21 people in an orientation group. Each person shakes hands with every other person exactly once. How many handshakes are there in total?

Join BYJU'S Learning Program