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JEE Main 20198 AprilEvening Shift

Exam: JEE Main
Year: 2019
Date: 8 April
Shift: Evening Shift
Subject: Mathematics
Chapter: Permutation and Combination

JEE Main 2019 · 8 April · Evening Shift · Mathematics · Permutation and Combination

The number of four-digit numbers strictly greater than 4321 that...

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: The number of four-digit numbers strictly greater than 4321 that can be formed using the digit 0,1, 2,3, 4,5

The number of four-digit numbers strictly greater than 4321 that can be formed using the digit 0,1, 2,3, 4,5

The number of four-digit numbers strictly greater than 4321 that can be formed using the digit 0,1, 2,3, 4,5

Options

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

Correct answer

D. $310$

Step-by-step solution

The number of four-digit numbers strictly greater than 4321 that can be formed using the digit 0,1, 2,3, 4,5

The number of four-digit numbers strictly greater than 4321 that can be formed using the digit 0,1, 2,3, 4,5

∴

Total Numbers

= 216 + 72 + 18 + 4 = 310

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