Permutation Combination Question 2
Question 2 - 24 January - Shift 1
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
Show Answer
Answer: 546
Solution:
Formula: Combination under restriction
For at most two language courses
$={ }^{5} C_2 \times{ }^{7} C_3+{ }^{5} C_1 \times{ }^{7} C_4+{ }^{7} C_5=546$
