JEE Mains · Maths · STD 11 - 6. permutation and combination
The total number of \(3-digit\) numbers, whose sum of digits is \(10,\) is
- A \(54\)
- B \(55\)
- C \(44\)
- D \(45\)
Answer & Solution
Correct Answer
(A) \(54\)
Step-by-step Solution
Detailed explanation
Let three digit number is xyz \(x + y + z =10 ; \quad x \geq 1, y \geq 0 z \geq 0 \ldots\) Let \(\quad T=x-1 \Rightarrow x=T+1\) where \(T \geq 0\) Put in (1) \(T + y + z =9 ; \quad 0 \leq T \leq 8,0 \leq y , z \leq 9\) No. of non negative integral solution…
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