The number of five digit numbers, greater than and divisible by , which can be formed using the digits and without repetition, is equal to

120 Explanation: Step 1: Case A - Jab aakhri digit ho Last Digit: (1 option). First Digit: Pehla digit ya mein se koi bhi ho sakta hai (3 options: ). Remaining 3 Places: Hamne 2 digits use kar liye hain (ek pehla aur ek aakhri). Total 6 digits mein se 4 digits bache hain. Inhe 3 beech ki jagaho par tariko se bhar sakte hain. Total numbers in Case A: Step 2: Case B - Jab aakhri digit ho Last Digit: (1 option). First Digit: Pehla digit ya hi ho sakta hai (2 options), kyunki pehle hi aakhri jagah par use ho chuka hai. Remaining 3 Places: Phir se 2 digits use ho chuke hain, toh 4 digits bache hain. Inhe 3 beech ki jagaho par tariko se bhar sakte hain. Total numbers in Case B: Step 3: Final Calculation Kul (Total) numbers = Case A + Case B Sahi Answer: (2) 120

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JEE 2023 — Mathematics PYQ

JEE | Mathematics | 2023

The number of five digit numbers, greater than $40000$ and divisible by $5$ , which can be formed using the digits $0, 1, 3, 5, 7$ and $9$ without repetition, is equal to

JEE 2023 — Mathematics PYQ

Choose the correct answer:

Explanation

Step 1: Case A - Jab aakhri digit $0$ ho

Step 2: Case B - Jab aakhri digit $5$ ho

Step 3: Final Calculation

Explanation

Step 1: Case A - Jab aakhri digit $0$ ho

Step 2: Case B - Jab aakhri digit $5$ ho

Step 3: Final Calculation

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