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# Multiple Correct MCQ Of Permutations And Combinations, Past Year Questions JEE Advance, Class 11, Maths

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Multiple Correct MCQ Of Permutations And Combinations, Past Year Questions JEE Advance, Class 11, Maths - Question 1

### An n-digit number is a positive number with exactly n digits.Nine hundred distinct n- digit numbers are to be formed using only the three digits 2, 5 and 7. The smallest value of n for which this is possible is ?

Detailed Solution for Multiple Correct MCQ Of Permutations And Combinations, Past Year Questions JEE Advance, Class 11, Maths - Question 1

Distinct n digit numbers which can be formed using digits 2, 5 and 8 are 3n.
We have to find n so that 3n ≥ 900

⇒ 3n – 2 ≥ 100
⇒ n – 2 ≥ 5

⇒ n ≥ 7.
So the least value of n is 7

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