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What is greatest number formed by using the digits 0, 1, 3, 7, 8, 9 without repetition?
- a)103789
- b)901378
- c)987310
- d)937810
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
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What is greatest number formed by using the digits 0, 1, 3, 7, 8, 9 wi...
To find the greatest number formed by using the digits 0, 1, 3, 7, 8, and 9 without repetition, we need to arrange the digits in descending order.
To do this, we start by looking for the highest possible digit for the first place value. Since we want to find the greatest number, we choose the highest available digit, which is 9.
Step 1:
We choose 9 as the first digit: 9 _ _ _ _ _
Step 2:
Next, we need to choose the second-highest digit for the second place value. The remaining available digits are 0, 1, 3, 7, and 8. We choose the next highest digit, which is 8.
We choose 9 8 _ _ _ _
Step 3:
Continuing the pattern, we choose the next highest available digit for the third place value, which is 7.
We choose 9 8 7 _ _ _
Step 4:
For the fourth place value, the remaining available digits are 0, 1, and 3. We choose the highest available digit, which is 3.
We choose 9 8 7 3 _ _
Step 5:
For the fifth place value, the remaining available digits are 0 and 1. We choose the highest available digit, which is 1.
We choose 9 8 7 3 1 _
Step 6:
Finally, for the sixth and last place value, we choose the remaining digit, which is 0.
We choose 9 8 7 3 1 0
Therefore, the greatest number formed using the digits 0, 1, 3, 7, 8, and 9 without repetition is 987310. Hence, the correct answer is option 'C'.
To do this, we start by looking for the highest possible digit for the first place value. Since we want to find the greatest number, we choose the highest available digit, which is 9.
Step 1:
We choose 9 as the first digit: 9 _ _ _ _ _
Step 2:
Next, we need to choose the second-highest digit for the second place value. The remaining available digits are 0, 1, 3, 7, and 8. We choose the next highest digit, which is 8.
We choose 9 8 _ _ _ _
Step 3:
Continuing the pattern, we choose the next highest available digit for the third place value, which is 7.
We choose 9 8 7 _ _ _
Step 4:
For the fourth place value, the remaining available digits are 0, 1, and 3. We choose the highest available digit, which is 3.
We choose 9 8 7 3 _ _
Step 5:
For the fifth place value, the remaining available digits are 0 and 1. We choose the highest available digit, which is 1.
We choose 9 8 7 3 1 _
Step 6:
Finally, for the sixth and last place value, we choose the remaining digit, which is 0.
We choose 9 8 7 3 1 0
Therefore, the greatest number formed using the digits 0, 1, 3, 7, 8, and 9 without repetition is 987310. Hence, the correct answer is option 'C'.
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