CA Foundation Exam  >  CA Foundation Questions  >  A committee is to be formed of 2 teachers and... Start Learning for Free
 A committee is to be formed of 2 teachers and 3 students out of 10 teachers and 20 students. The number of ways in which this can be done is ___________.
  • a)
     10C2 x 20C3
  • b)
    9C20C3
  • c)
    10C19C3
  • d)
    None
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A committee is to be formed of 2 teachers and 3 students out of 10 tea...
To form a committee of 2 teachers and 3 students out of 10 teachers and 20 students, we need to use the concept of combinations.

Combination formula: nCr = n! / (r! * (n-r)!)

Here, n represents the total number of objects (teachers or students), and r represents the number of objects to be selected (2 teachers and 3 students).

Now let's calculate the number of ways to form the committee:

Step 1: Calculate the number of ways to select 2 teachers out of 10.
- 10C2 = 10! / (2! * (10-2)!)
- 10C2 = 10! / (2! * 8!)
- 10C2 = (10 * 9) / 2
- 10C2 = 45

Step 2: Calculate the number of ways to select 3 students out of 20.
- 20C3 = 20! / (3! * (20-3)!)
- 20C3 = 20! / (3! * 17!)
- 20C3 = (20 * 19 * 18) / (3 * 2 * 1)
- 20C3 = 1140

Step 3: Calculate the total number of ways to form the committee.
- Since the selection of teachers and students are independent events, we need to multiply the number of ways from step 1 and step 2.
- Total number of ways = 45 * 1140
- Total number of ways = 51300

Therefore, the correct answer is option 'A' (10C2 * 20C3) as it represents the number of ways to form the committee.
Explore Courses for CA Foundation exam
A committee is to be formed of 2 teachers and 3 students out of 10 teachers and 20 students. The number of ways in which this can be done is ___________.a)10C2x20C3b)9C1x20C3c)10C2x19C3d)NoneCorrect answer is option 'A'. Can you explain this answer?
Question Description
A committee is to be formed of 2 teachers and 3 students out of 10 teachers and 20 students. The number of ways in which this can be done is ___________.a)10C2x20C3b)9C1x20C3c)10C2x19C3d)NoneCorrect answer is option 'A'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about A committee is to be formed of 2 teachers and 3 students out of 10 teachers and 20 students. The number of ways in which this can be done is ___________.a)10C2x20C3b)9C1x20C3c)10C2x19C3d)NoneCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A committee is to be formed of 2 teachers and 3 students out of 10 teachers and 20 students. The number of ways in which this can be done is ___________.a)10C2x20C3b)9C1x20C3c)10C2x19C3d)NoneCorrect answer is option 'A'. Can you explain this answer?.
Solutions for A committee is to be formed of 2 teachers and 3 students out of 10 teachers and 20 students. The number of ways in which this can be done is ___________.a)10C2x20C3b)9C1x20C3c)10C2x19C3d)NoneCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for CA Foundation. Download more important topics, notes, lectures and mock test series for CA Foundation Exam by signing up for free.
Here you can find the meaning of A committee is to be formed of 2 teachers and 3 students out of 10 teachers and 20 students. The number of ways in which this can be done is ___________.a)10C2x20C3b)9C1x20C3c)10C2x19C3d)NoneCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A committee is to be formed of 2 teachers and 3 students out of 10 teachers and 20 students. The number of ways in which this can be done is ___________.a)10C2x20C3b)9C1x20C3c)10C2x19C3d)NoneCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for A committee is to be formed of 2 teachers and 3 students out of 10 teachers and 20 students. The number of ways in which this can be done is ___________.a)10C2x20C3b)9C1x20C3c)10C2x19C3d)NoneCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of A committee is to be formed of 2 teachers and 3 students out of 10 teachers and 20 students. The number of ways in which this can be done is ___________.a)10C2x20C3b)9C1x20C3c)10C2x19C3d)NoneCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A committee is to be formed of 2 teachers and 3 students out of 10 teachers and 20 students. The number of ways in which this can be done is ___________.a)10C2x20C3b)9C1x20C3c)10C2x19C3d)NoneCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice CA Foundation tests.
Explore Courses for CA Foundation exam

Top Courses for CA Foundation

Explore Courses
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