Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • The number lock of a suitcase has 4 wheels, each labelled with ten digits i.e., from 0 to 9. The lock opens with a sequence of four digits with no repeats. What is the probability of a person getting the right sequence to open the suitcase?

10. The number lock of a suitcase has \small 4 wheels, each labelled with ten digits, i.e., from \small 0 to \small 9. The lock opens with a sequence of four digits with no repeats. What is the probability of a person getting the right sequence to open the suitcase?

Answers (1)

best_answer

Given that each wheel can be labelled with 10 digits,. 

The number of ways of selecting 4 different digits out of the 10 digits = ^{10}\textrm{C}_{4}

These 4 digits can be arranged in their own 4! ways.

\therefore Number of four-digit numbers without repetitions =

^{10}\textrm{C}_{4}\times4! = \frac{10!}{4!.6!}\times4! = 10\times9\times8\times7 = 5040

The number of combination that can open the suitcase = 1

\therefore Required probability of getting the right sequence to open the suitcase =  \frac{1}{5040}

Posted by

HARSH KANKARIA

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

PM Modi's Pariksha Pe Charcha 2025 to be held next month, registrations open till January 14
anam-khan

CBSE Board Exams 2025: Online portal for availing exemptions by CWSN students opens
anam-khan

Board Exams: States agree to equivalence; no question paper ‘jumbling’ from next year, says PARAKH CEO

Latest Question