JEE Mains · Maths · STD 11 - 6. permutation and combination
A boy needs to select five courses from \(12\) available courses, out of which \(5\) courses are language courses. If he can choose at most two language courses, then the number of ways he can choose five courses is
- A \(454\)
- B \(465\)
- C \(546\)
- D \(645\)
Answer & Solution
Correct Answer
(C) \(546\)
Step-by-step Solution
Detailed explanation
For at most two language courses \(={ }^5 C _2 \times{ }^7 C _3+{ }^5 C _1 \times{ }^7 C _4+{ }^7 C _5=546\)
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