Maths Permutations & Combination Definition of Combinations, Condition Combinations, Division into Groups, Derangements Single Correct MCQ
Published on: August 14, 2026

The number of 6 digit numbers that can be formed using the digits 1, 3, 5 with the condition that 5 occurs twice in each number, is:

A
45
B
75
C
185
D
240

Share this question

For Instagram sharing, use “Apps” on mobile or copy the link.

Text Solution

Verified by Experts
The correct answer is:
D

We have to form a 6 digit number of which two digits must necessarily be 5. The digit 5 can be arranged in ways. Now, for the remaining four places, we have two options, viz., 1, 3 for every place. Thus the remaining places can be filled in 2 4 ways.

Hence, the required number of ways = = 240 ways.

Prepare Smarter with CGP Edu

Get practice questions, solutions, and test series in one place.

Write a Review

Share your experience with this question and solution.

Commentary

Send your comment, doubt, correction, or feedback to admin.

Student Reviews

What students say about this solution

No reviews yet. Be the first to write a review.

Similar Questions

Explore conceptually related problems

CG
CGP Question Assistant Question Bank + AI Help
Hi! Type your question or upload one screenshot. First I will search related questions from CGP Edu Question Bank. If none match, type YES and I will solve it with AI.
Upload only one screenshot at a time. Flow: Question Bank first → If not matched, type YES for AI solution.