मराठी

How many words (with or without dictionary meaning) can be made from the letters of the word MONDAY, assuming that no letter is repeated, if C1 C2 (a) 4 letters are used at a time (i) 720 (b) All let - Mathematics

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प्रश्न

How many words (with or without dictionary meaning) can be made from the letters of the word MONDAY, assuming that no letter is repeated, if

C1 C2
(a) 4 letters are used at a time (i) 720
(b) All letters are used at a time (ii) 240
(c) All letters are used but the first is a vowel (iii) 360
जोड्या लावा/जोड्या जुळवा
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उत्तर

C1 C2
(a) 4 letters are used at a time (i) 360
(b) All letters are used at a time (ii) 720
(c) All letters are used but the first is a vowel (iii) 240

Explanation:

(a) 4 letters are used at a time = 6P4

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

= 360

(b) All letters are used at a time = 6P6

= 6!

= 720

(c) All letters are used but first letter is vowel = 2 × 5!

= 2 × 120

= 240

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पाठ 7: Permutations and Combinations - Exercise [पृष्ठ १२८]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
पाठ 7 Permutations and Combinations
Exercise | Q 64 | पृष्ठ १२८

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