Q46 / 90 · JEE Main 2019 (08 Apr Shift 2) · Mathematics

The number of four-digit numbers strictly greater than $4321$ that can be formed using the digit $0,1, 2,3, 4,5$ (repetition of digits is allowed) is:

A
$360$
B
$288$
C
$306$
Correct answer
D
$310$

Solution

∴

Total Numbers

= 216 + 72 + 18 + 4 = 310

Hence, the correct answer is option: 'D'.

Relevant Questions

Two players and play a series of games of badminton. The player, who wins games first, wins the series. Assuming that no game ends in a draw05 Apr, 2026 (M)Arrangement under Constraint
The number of words, which can be formed using all the letters of the word "DAUGHTER", so that all the vowels never come together, is23 Jan, 2025 (M)Arrangement under Constraint
The number of ways, 5 boys and 4 girls can sit in a row so that either all the boys sit together or no two boys sit together, is -23 Jan, 2025 (E)Arrangement under Constraint
From all the English alphabets, five letters are chosen and are arranged in alphabetical order. The total number of ways, in which the middl22 Jan, 2025 (M)Arrangement under Constraint
In a group of 3 girls and 4 boys, there are two boys and . The number of ways, in which these girls and boys can stand in a queue such that 22 Jan, 2025 (E)Arrangement under Constraint
60 words can be made using all the letters of the word BHBJO, with or without meaning. If these words are written as in a dictionary, then t05 Apr, 2024 (E)Arrangement under Constraint