Question
Download Solution PDF0, 2, 4, 6, 8 অঙ্কগুলি ব্যবহার করে কয়টি 3 অঙ্কের সংখ্যার তৈরি করা যায়? (অঙ্কগুলির পুনরাবৃত্তি অনুমোদিত নয়)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
To determine the number of 3-digit numbers that can be formed using the digits 0, 2, 4, 6, 8 without repetition, let's consider the positions of the digits (hundreds, tens, and units) and the rules for forming a valid 3-digit number.
Hundreds place: The hundreds place cannot be 0 (since it must be a 3-digit number), so we have 4 options (2, 4, 6, 8).
Tens place: After choosing a digit for the hundreds place, we have 4 remaining digits.
Units place: After choosing digits for the hundreds and tens places, we have 3 remaining digits.
The hundredth digit can be filled by any digit except 0 ⇒ No. of ways to fill hundredth digit = 4
No. of ways to fill tenth digit = 4
No. of ways to fill unit’s digit = 3
So, number of 3 digit numbers which can be formed = 4 × 4 × 3 = 48Last updated on May 31, 2025
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