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Find the number of 4-digit numbers that can be formed using the digits 1, 2, 4, 5, 6, 8 if digits can be repeated - Mathematics and Statistics

Sum

Find the number of 4-digit numbers that can be formed using the digits 1, 2, 4, 5, 6, 8 if digits can be repeated

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Solution

A 4 digit number is to be made from the digits 1, 2, 4, 5, 6, 8 such that digits can be repeated.

∴ Unit’s place digit can be filled in 6 ways.

10’s place digit can be filled in 6 ways.

100’s place digit can be filled in 6 ways.

1000’s place digit can be filled in 6 ways.

∴ total number of numbers

= 6 × 6 × 6 × 6

= 64

= 1296

∴ 1296 four-digit numbers can be formed if repetition of digits is allowed.

Concept: Concept of Permutations - Permutations When Repetitions Are Allowed
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APPEARS IN

Balbharati Mathematics and Statistics 2 (Arts and Science) 11th Standard Maharashtra State Board
Chapter 3 Permutations and Combination
Exercise 3.3 | Q 10. (a) | Page 55
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