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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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प्रश्न

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

योग

उत्तर

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.

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Permutations - Permutations When Repetitions Are Allowed
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 3: Permutations and Combination - Exercise 3.3 [पृष्ठ ५५]

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बालभारती Mathematics and Statistics 2 (Arts and Science) [English] 11 Standard Maharashtra State Board
अध्याय 3 Permutations and Combination
Exercise 3.3 | Q 10. (b) | पृष्ठ ५५

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