Total number of four digit odd numbers that can be formed using 0, 1, 2, 3, 5, 7 are

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Solution

Q.
Total number of four digit odd numbers that can be formed using 0, 1, 2, 3, 5, 7 are

1 216

2 375

3 400

4 720

Ans.
(4)

$Odd numbers are 1, 3, 5, 7$

$We have to fill up four places like T H H T U$

$(Case: If repetition is allowed)$

$Required number of 4-digit numbers$

$= {}^{5}C_{1} \times 6^{2} \times {}^{4}C_{1} = 5 \times 6^{2} \times 4 = 5 \times 36 \times 4 = 720$

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