Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • How many different three-digit numbers can be formed using the prime numbers less then 12 if repetition is allowed and ten's position is filled with the square root of n, where n=4? &

How many different three-digit numbers can be formed using the prime numbers less then 12 if repetition is allowed and ten's position is filled with the square root of n, where n=4?

 

Option: 1

35


Option: 2

46


Option: 3

62


Option: 4

25


Answers (1)

best_answer

To calculate the number of different three-digit numbers that can be formed using the prime numbers less than 12, with repetition allowed and the ten's position filled with the square root of 4, we can proceed as follows:

The square root of 4 is 2, so for the ten's position, we have only one option, which is 2.

For the hundreds position, we can choose any prime number less than 12. The prime numbers less than 12 are 2, 3, 5, 7, and 11. Since repetition is allowed, we have five options.

For the one's position, we can again choose any prime number less than 12. With repetition allowed, we have five options.

Therefore, the number of different three-digit numbers that can be formed is obtained by multiplying the choices for each position:

Number of choices for the ten's position = 1 (since it is fixed as 2)

Number of choices for the hundreds position = 5 (any of the five prime numbers less than 12)

Number of choices for the one's position = 5 (any of the five prime numbers less than 12)

Total number of different three-digit numbers = Number of choices for the ten's position \times Number of choices for the hundreds position \times  Number of choices for the one's position

= 1\times 5 \times 5

= 25

Therefore, there are 25 different three-digit numbers that can be formed using the prime numbers less than 12, with repetition allowed and the ten's position filled with the square root of 4 (2).

 

Posted by

shivangi.shekhar

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JEE Main 2026 session 2 application correction begins on jeemain.nta.nic.in; edit details by tomorrow
anam-khan

JEE Main 2026 Registration LIVE: Session 2 exam from April 2 to 9; shift timings, admit card, exam pattern
anam-khan

JEE Main 2026 session 2 registration ends today for BTech, BArch; apply at jeemain.nta.nic.in

Latest Question