हिंदी

Ten different letters of alphabet are given. Words with five letters are formed from these given letters. Then the number of words which have atleast one letter repeated is ______.

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प्रश्न

Ten different letters of alphabet are given. Words with five letters are formed from these given letters. Then the number of words which have atleast one letter repeated is ______.

विकल्प

  • 69,760

  • 30,240

  • 99,748

  • 99,784

MCQ
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उत्तर

Ten different letters of alphabet are given. Words with five letters are formed from these given letters. Then the number of words which have atleast one letter repeated is 69,760.

Explanation:

Number of 5 letters words (with the condition that a letter can be repeated) = 105 = 1,00,000

Again number of words using 5 different letters is 10P5.

= 1,00,000 – 30,240 

= 69,760

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अध्याय 7: Permutations and Combinations - Solved Examples [पृष्ठ १२०]

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एनसीईआरटी एक्झांप्लर Mathematics Exemplar [English] Class 11
अध्याय 7 Permutations and Combinations
Solved Examples | Q 16 | पृष्ठ १२०

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