If $a,\;b,\;c \in N,$ The anumber of points having position vector $a{\bf{\hat i}} + b{\bf{\hat j}} + c{\bf{\hat k}}$ such that $6 \le a + b + c \le 10$, is

JEE MATHEMATICS MCQ: COMBINATIONS

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a,\;b,\;c \in N,

The anumber of points having position vector

a\mathbf{\hat i} + b\mathbf{\hat j} + c\mathbf{\hat k}

such that

6 \le a + b + c \le 10

, is

View answer and explanation

Correct option: A

110

Option A (110) is correct because it represents the total number of possible combinations of a, b, and c that satisfy the given condition using combinations with repetition.

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