TS EAMCET · Maths · Permutation Combination
The total number of all those 3-digit numbers in which the sum of all the digits in each of them is 10 , is
- A \(54\)
- B \(55\)
- C \(56\)
- D \(58\)
Answer & Solution
Correct Answer
(A) \(54\)
Step-by-step Solution
Detailed explanation
L.et the number be \(a b c\). \[ \begin{aligned} & a+b+c=10, a \geq 1, b \geq 0, c \geq 0 \\ & \text { Let } a-1=p \Rightarrow a=1+p \\ & p+b+c=9, p \geq 0, b \geq 0, c \geq 0 \end{aligned} \] Total number of non negative integral solutions…
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