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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

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

There are 6 different digits and we have to form 4-digit numbers, i.e., n = 6, r = 4.

If the repetition of digits is not allowed, then the number of 4-digit numbers

6P4

= `(6!)/(2!)`

= `(6 xx 5 xx 4 xx 3 xx 2!)/(2!)`

= 360.

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. (b) | Page 55
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