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A Letter Lock Consists of Three Rings Each Marked with 10 Different Letters. in How Many Ways It is Possible to Make an Unsuccessful Attempt to Open the Lock? - Mathematics

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प्रश्न

A letter lock consists of three rings each marked with 10 different letters. In how many ways it is possible to make an unsuccessful attempt to open the lock?

उत्तर

Number of ways of marking each of the ring = 10 different letters
∴ Total number of ways of marking any letter on these three rings = 10\[\times\]10\[\times\]10 = 1000 Out of these 1000 combinations of the lock, 1 combination will be successful.
∴ Total number of unsuccessful attempts = 1000 \[-\]1 = 999

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अध्याय 16: Permutations - Exercise 16.2 [पृष्ठ १५]

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आरडी शर्मा Mathematics [English] Class 11
अध्याय 16 Permutations
Exercise 16.2 | Q 8 | पृष्ठ १५

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