a) 100324
b) 93334
c) 92224
d) 93324
correct answer is: d) 93324
Explanation
To form a four digit number using the digits KaTeX parse error: KaTeX doesn't work in quirks mode. and KaTeX parse error: KaTeX doesn't work in quirks mode. without repeating any digit:
KaTeX parse error: KaTeX doesn't work in quirks mode. There are KaTeX parse error: KaTeX doesn't work in quirks mode. choices for the thousands place KaTeX parse error: KaTeX doesn't work in quirks mode. or KaTeX parse error: KaTeX doesn't work in quirks mode.
KaTeX parse error: KaTeX doesn't work in quirks mode. Once we have chosen one digit for the thousands place, we have KaTeX parse error: KaTeX doesn't work in quirks mode. remaining choices for the hundreds place.
KaTeX parse error: KaTeX doesn't work in quirks mode. After choosing digits for the thousands and hundreds places, we have KaTeX parse error: KaTeX doesn't work in quirks mode. choices left for the tens place.
KaTeX parse error: KaTeX doesn't work in quirks mode. Last, only KaTeX parse error: KaTeX doesn't work in quirks mode. digit remains for the unit’s place.
So, we have KaTeX parse error: KaTeX doesn't work in quirks mode. possible numbers.
KaTeX parse error: KaTeX doesn't work in quirks mode. These 24 numbers are:
KaTeX parse error: KaTeX doesn't work in quirks mode.
KaTeX parse error: KaTeX doesn't work in quirks mode.
KaTeX parse error: KaTeX doesn't work in quirks mode.
KaTeX parse error: KaTeX doesn't work in quirks mode.
And, sum of these number is KaTeX parse error: KaTeX doesn't work in quirks mode.
Ans: The sum of all four digit numbers formed with the digits 2, 3 and 4, without repeating any digit, is 93324.
Other variants of this particular math question are:
- What is the sum of all four digit numbers formed by the digits 2, 3, 4 and 5, ensuring each digit appears only once?
- What is the sum of all four digit numbers formed by the digits 2, 3, 4 and 5, ensuring each digit appears only once?
- Finding the sum of all distinct four digit numbers created from the digits 2, 3, 4 and 5, without duplication.