All Courses
Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity Get the App Login Join for Free
Sign in Open App
GMAT Exam  >  GMAT Questions  >  Micky has 10 different letters and 5 differen... Start Learning for Free
SaveJoin the Discussion on the App
Micky has 10 different letters and 5 different envelopes with him. If he can only put one letter in an envelope, in how many ways can the letters be put in the envelopes?
  • a)
    5!
  • b)
    55
  • c)
    10C5 *5!
  • d)
    10C5 *55
  • e)
    510
Correct answer is option 'C'. Can you explain this answer?
FREE This question is part of
Download PDF Attempt Test
Download PDF Attempt this Test
Verified Answer
Micky has 10 different letters and 5 different envelopes with him. If ...
Given
  • Number of letters = 10
  • Number of envelopes = 5
To Find: Number of ways in which 5 letters can be put in 5 envelopes?
Approach
  1. We need to find the number of ways in which 5 different letters out of 10 available letters can be put in 5 different envelopes.
  2. Task-1: Selecting 5 letters out of 10 letters
    1. We need to select 5 letters out of 10 available letters that are to be put in the envelopes
  3. Task-2: Putting 5 different letters in 5 different envelopes
    1. We need to distribute 5 different letters in 5 different envelopes
  4. Number of ways = Task-1 * Task-2
Working Out
  1. Task-1: Selecting 5 letters out of 10 letters
    1. Number of ways to select 5 different letters out of 10 different letters = 10 C5……(1)
  • Task-2: Putting 5 selected letters in 5 different envelopes
    1. 1st letter has an option of being put in 5 envelopes
    2. 2nd letter has an option of being put in any of the remaining 4 envelopes
    3. …….
    4. ….
    5. 5th letter has an option of being put in only 1 remaining envelope.
    6. So, total ways in which 5 different letters can be put in 5 different envelopes = 5 *4*3*2*1 = 5!........(2)
  • Combining (1) and (2), we have
    1. Number of ways of putting 5 different letters out of 10 different letters in 5 different envelopes = 10C5 * 5!
View all questions of this test
Most Upvoted Answer
Micky has 10 different letters and 5 different envelopes with him. If ...
Given
  • Number of letters = 10
  • Number of envelopes = 5
To Find: Number of ways in which 5 letters can be put in 5 envelopes?
Approach
  1. We need to find the number of ways in which 5 different letters out of 10 available letters can be put in 5 different envelopes.
  2. Task-1: Selecting 5 letters out of 10 letters
    1. We need to select 5 letters out of 10 available letters that are to be put in the envelopes
  3. Task-2: Putting 5 different letters in 5 different envelopes
    1. We need to distribute 5 different letters in 5 different envelopes
  4. Number of ways = Task-1 * Task-2
Working Out
  1. Task-1: Selecting 5 letters out of 10 letters
    1. Number of ways to select 5 different letters out of 10 different letters = 10 C5……(1)
  • Task-2: Putting 5 selected letters in 5 different envelopes
    1. 1st letter has an option of being put in 5 envelopes
    2. 2nd letter has an option of being put in any of the remaining 4 envelopes
    3. …….
    4. ….
    5. 5th letter has an option of being put in only 1 remaining envelope.
    6. So, total ways in which 5 different letters can be put in 5 different envelopes = 5 *4*3*2*1 = 5!........(2)
  • Combining (1) and (2), we have
    1. Number of ways of putting 5 different letters out of 10 different letters in 5 different envelopes = 10C5 * 5!
Free Test
FREE
Start Free Test
Start Free Test
Community Answer
Micky has 10 different letters and 5 different envelopes with him. If ...
Given
  • Number of letters = 10
  • Number of envelopes = 5
To Find: Number of ways in which 5 letters can be put in 5 envelopes?
Approach
  1. We need to find the number of ways in which 5 different letters out of 10 available letters can be put in 5 different envelopes.
  2. Task-1: Selecting 5 letters out of 10 letters
    1. We need to select 5 letters out of 10 available letters that are to be put in the envelopes
  3. Task-2: Putting 5 different letters in 5 different envelopes
    1. We need to distribute 5 different letters in 5 different envelopes
  4. Number of ways = Task-1 * Task-2
Working Out
  1. Task-1: Selecting 5 letters out of 10 letters
    1. Number of ways to select 5 different letters out of 10 different letters = 10 C5……(1)
  • Task-2: Putting 5 selected letters in 5 different envelopes
    1. 1st letter has an option of being put in 5 envelopes
    2. 2nd letter has an option of being put in any of the remaining 4 envelopes
    3. …….
    4. ….
    5. 5th letter has an option of being put in only 1 remaining envelope.
    6. So, total ways in which 5 different letters can be put in 5 different envelopes = 5 *4*3*2*1 = 5!........(2)
  • Combining (1) and (2), we have
    1. Number of ways of putting 5 different letters out of 10 different letters in 5 different envelopes = 10C5 * 5!
Attention GMAT Students!
To make sure you are not studying endlessly, EduRev has designed GMAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in GMAT.
< Previous Question Next Question >
Explore Courses for GMAT exam

Similar GMAT Doubts

Top Courses for GMATView all

Top Courses for GMAT

Micky has 10 different letters and 5 different envelopes with him. If he can only put one letter in an envelope, in how many ways can the letters be put in the envelopes?a)5!b)55c)10C5 *5!d)10C5 *55e)510Correct answer is option 'C'. Can you explain this answer?
Question Description
Micky has 10 different letters and 5 different envelopes with him. If he can only put one letter in an envelope, in how many ways can the letters be put in the envelopes?a)5!b)55c)10C5 *5!d)10C5 *55e)510Correct answer is option 'C'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Micky has 10 different letters and 5 different envelopes with him. If he can only put one letter in an envelope, in how many ways can the letters be put in the envelopes?a)5!b)55c)10C5 *5!d)10C5 *55e)510Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Micky has 10 different letters and 5 different envelopes with him. If he can only put one letter in an envelope, in how many ways can the letters be put in the envelopes?a)5!b)55c)10C5 *5!d)10C5 *55e)510Correct answer is option 'C'. Can you explain this answer?.
Solutions for Micky has 10 different letters and 5 different envelopes with him. If he can only put one letter in an envelope, in how many ways can the letters be put in the envelopes?a)5!b)55c)10C5 *5!d)10C5 *55e)510Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT. Download more important topics, notes, lectures and mock test series for GMAT Exam by signing up for free.
Here you can find the meaning of Micky has 10 different letters and 5 different envelopes with him. If he can only put one letter in an envelope, in how many ways can the letters be put in the envelopes?a)5!b)55c)10C5 *5!d)10C5 *55e)510Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Micky has 10 different letters and 5 different envelopes with him. If he can only put one letter in an envelope, in how many ways can the letters be put in the envelopes?a)5!b)55c)10C5 *5!d)10C5 *55e)510Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Micky has 10 different letters and 5 different envelopes with him. If he can only put one letter in an envelope, in how many ways can the letters be put in the envelopes?a)5!b)55c)10C5 *5!d)10C5 *55e)510Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Micky has 10 different letters and 5 different envelopes with him. If he can only put one letter in an envelope, in how many ways can the letters be put in the envelopes?a)5!b)55c)10C5 *5!d)10C5 *55e)510Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Micky has 10 different letters and 5 different envelopes with him. If he can only put one letter in an envelope, in how many ways can the letters be put in the envelopes?a)5!b)55c)10C5 *5!d)10C5 *55e)510Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice GMAT tests.
Explore Courses for GMAT exam

Top Courses for GMAT

Explore Courses

Suggested Free Tests

Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Get App
© EduRev
Education Revolution
Follow Us
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup