Question 6 of 7intermediate🔧 ApplyShort Answer3 marks

Now make more 3-digit numbers using 3, 2 and 4 where you may repeat the digits. Colour the greatest number with red and smallest number with yellow.

Correct Answer

3-digit numbers using digits 3, 2, 4 (with repetition): 222, 223, 224, 232, 233, 234, 242, 243, 244, 322, 323, 324, 332, 333, 334, 342, 343, 344, 422, 423, 424, 432, 433, 434, 442, 443, 444

Greatest number: 444 (colour red)

Smallest number: 222 (colour yellow)

Exercise: Let us Do | Q: 6 | (Page Page 18)
For More Understanding

Explanation

When digits can be repeated, we can form many more numbers. The greatest number has the largest digit (4) in all places: 444. The smallest number has the smallest digit (2) in all places: 222.

Solution Steps

  1. Step 1: Generate all possible numbers with repetition allowed

  2. Step 2: Find greatest: 444 (all digits are maximum)

  3. Step 3: Find smallest: 222 (all digits are minimum)

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