$A$ country has $10$ smart cities. The government decides to connect all these cities by road. How many roads does the government need to construct so that every city is connected to every other city?

  • A
    $45$
  • B
    $50$
  • C
    $55$
  • D
    $60$

Explore More

Similar Questions

$A$ die is rolled three times. Find the probability of getting a larger number than the previous number each time.

$A$ student is allowed to select at most $n$ books from a collection of $(2n + 1)$ books. If the total number of ways in which he can select at least one book is $63$,then the value of $n$ is

$A$ committee of $12$ members is to be formed from $9$ women and $8$ men. The number of committees in which the women are in majority is

If $\binom{n+1}{3} = 2 \times \binom{n}{2}$,then $n = \dots$

If $^{n + 1}C_3 = 2 \cdot ^nC_2$,then $n =$

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo