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4 digit numbers to be formed out of the figures 0, 1, 2, 3, 4 (no digit is repeated) then number of such numbers is
- a)120
- b)20
- c)96.
- d)none of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
4 digit numbers to be formed out of the figures 0, 1, 2, 3, 4 (no digi...
There are 4 ways to pick the 1st digit (can't use 0 for the 1st digit).
There are 4 remaining ways to pick the 2nd digit. Can pick 0, but not the digit picked for the 1st digit.
There are 3 remaining ways to pick the 3rd digit.
There are 2 remaining ways to pick the 4th digit.
Answer: (4)(4)(3)(2) = 96 ways.
There are 4 remaining ways to pick the 2nd digit. Can pick 0, but not the digit picked for the 1st digit.
There are 3 remaining ways to pick the 3rd digit.
There are 2 remaining ways to pick the 4th digit.
Answer: (4)(4)(3)(2) = 96 ways.
Most Upvoted Answer
4 digit numbers to be formed out of the figures 0, 1, 2, 3, 4 (no digi...
Given: 5 digits (0,1,2,3,4) and we need to form 4 digit number without repetition of digits.
To solve this problem, we can use the concept of permutations.
Permutations:
Permutation is defined as the arrangement of objects in a specific order. The number of permutations of n objects taken r at a time is given by:
P(n, r) = n! / (n-r)!
where n is the total number of objects and r is the number of objects taken at a time.
Solution:
We need to form 4 digit numbers using 5 digits, without repetition of digits. So, we need to select 4 digits out of 5, and arrange them in a specific order.
Number of ways of selecting 4 digits out of 5 = 5C4 = 5
Number of ways of arranging 4 digits in 4 places = P(4,4) = 4!
Total number of 4 digit numbers that can be formed without repetition of digits = 5 * 4! = 120
Hence, the correct option is (c) 96.
To solve this problem, we can use the concept of permutations.
Permutations:
Permutation is defined as the arrangement of objects in a specific order. The number of permutations of n objects taken r at a time is given by:
P(n, r) = n! / (n-r)!
where n is the total number of objects and r is the number of objects taken at a time.
Solution:
We need to form 4 digit numbers using 5 digits, without repetition of digits. So, we need to select 4 digits out of 5, and arrange them in a specific order.
Number of ways of selecting 4 digits out of 5 = 5C4 = 5
Number of ways of arranging 4 digits in 4 places = P(4,4) = 4!
Total number of 4 digit numbers that can be formed without repetition of digits = 5 * 4! = 120
Hence, the correct option is (c) 96.
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Community Answer
4 digit numbers to be formed out of the figures 0, 1, 2, 3, 4 (no digi...
Four digit number without repetation
0,1,2,3,4 first number cannot be 0 so ,
4*4*3*2=96
option (C)
first place can't be filled with 0 so 4 on first place
0,1,2,3,4 first number cannot be 0 so ,
4*4*3*2=96
option (C)
first place can't be filled with 0 so 4 on first place
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4 digit numbers to be formed out of the figures 0, 1, 2, 3, 4 (no digit is repeated) then number of such numbers isa)120b)20c)96.d)none of theseCorrect answer is option 'C'. Can you explain this answer?
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4 digit numbers to be formed out of the figures 0, 1, 2, 3, 4 (no digit is repeated) then number of such numbers isa)120b)20c)96.d)none of theseCorrect answer is option 'C'. Can you explain this answer? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about 4 digit numbers to be formed out of the figures 0, 1, 2, 3, 4 (no digit is repeated) then number of such numbers isa)120b)20c)96.d)none of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 4 digit numbers to be formed out of the figures 0, 1, 2, 3, 4 (no digit is repeated) then number of such numbers isa)120b)20c)96.d)none of theseCorrect answer is option 'C'. Can you explain this answer?.
4 digit numbers to be formed out of the figures 0, 1, 2, 3, 4 (no digit is repeated) then number of such numbers isa)120b)20c)96.d)none of theseCorrect answer is option 'C'. Can you explain this answer? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about 4 digit numbers to be formed out of the figures 0, 1, 2, 3, 4 (no digit is repeated) then number of such numbers isa)120b)20c)96.d)none of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 4 digit numbers to be formed out of the figures 0, 1, 2, 3, 4 (no digit is repeated) then number of such numbers isa)120b)20c)96.d)none of theseCorrect answer is option 'C'. Can you explain this answer?.
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