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The number of numbers between 2,000 and 5,000 that can be form

Question

The number of numbers between $2, 000$ and $5, 000$ that can be formed with the digits $0, 1, 2, 3, 4$ (repetition of digits is not allowed) and are multiple of $3$ is :

24

30

38

48

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Oliver Discussed

The number of numbers between

2, 000

and

5, 000

that can be formed with the digits

0, 1, 2, 3, 4

(repetition of digits is not allowed) and are multiple of

3

is :

6 mins ago

Discuss this question LIVE

6 mins ago

Text solutionVerified

Set of number which can be chosen

(0, 1, 2, 3)

and

(2, 3, 4, 0)

by choosing

(0, 1, 2, 3)

total numbers

=_{2} C_{1} \times 3!

= 12

by choosing

(2, 3, 4, 0)

total numbers

=_{3} C_{1} \times 3!

= 18

total numbers=

12 + 18 = 30

so option B is correct

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Question Text	The number of numbers between $2, 000$ and $5, 000$ that can be formed with the digits $0, 1, 2, 3, 4$ (repetition of digits is not allowed) and are multiple of $3$ is :
Answer Type	Text solution:1
Upvotes	150