Given:
Total number of questions = 10
Questions in part A = 6
Questions in part B = 7
Number of ways = (No. of ways of answering 4 questions from part A and 6 from part B) + (No. of ways of answering 5 questions from part A and 5 questions from part B) + (No. of ways of answering 6 questions from part A and 4 from part B)
= (6C4 × 7C6) + (6C5 × 7C5) + (6C6 × 7C4)
By using the formula,
nCr = \( \dfrac{ n!}{r!(n – r)!}\)
= (15×7) + (6×21) + (1×35)
= 105 + 126 + 35
= 266
The total no. of ways of answering 10 questions is 266 ways.
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