JEE MAIN - Mathematics (2021 - 26th August Morning Shift - No. 19)

The number of three-digit even numbers, formed by the digits 0, 1, 3, 4, 6, 7 if the repetition of digits is not allowed, is ______________.
Answer
52

Explanation

(i) When '0' is at unit place

JEE Main 2021 (Online) 26th August Morning Shift Mathematics - Permutations and Combinations Question 109 English Explanation 1

Number of numbers = 20

(ii) When 4 or 6 are at unit place

JEE Main 2021 (Online) 26th August Morning Shift Mathematics - Permutations and Combinations Question 109 English Explanation 2

Number of numbers = 32

Total three digit even number = 20 + 32 = 52

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