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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 cannot be repeated. - Mathematics and Statistics

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Sum

Find the number of 4-digit numbers that can be formed using the digits 1, 2, 4, 5, 6, 8 if digits cannot be repeated.

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Solution

A 4 different digit number is to be made from the digits 1, 2, 4, 5, 6, 8 without repetition of digits.
∴ 4 different digits are to be arranged from 6 given digits which can be done in 6P4
= `(6!)/((6-4)!)=(6xx5xx4xx3xx2!)/(2!)` = 360 ways
∴ 360 four-digit numbers can be formed if the repetition of digits is not allowed.

Concept: Permutations - Permutations When Repetitions Are Allowed
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APPEARS IN

Balbharati Mathematics and Statistics 2 (Commerce) 11th Standard HSC Maharashtra State Board
Chapter 6 Permutations and Combinations
Exercise 6.3 | Q 10. (ii) | Page 81
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