Question

Question paper consists of 10 questions part 1 and part 2 each part containing five questions student is required to attend 6 questions. A student in all taken at least two questions from each part in how many ways the student select the questions​.

A. 150 ways
B. 250 ways
C. 300 ways
D. 400 ways

Answer 1

To solve this problem, we need to consider different scenarios for selecting the questions. The total number of ways is 225 ways.

Step-by-step explanation:

To solve this problem, we need to consider the number of ways a student can select the questions. Since the student needs to answer 6 questions in total and must take at least 2 questions from each part, we can break it down into different scenarios:

1. Selecting 2 questions from each part and 2 additional questions from either part: This can be done in 5 choose 2 ways for each part, and 5 choose 2 ways for the additional questions. So the total number of ways is (5 choose 2) * (5 choose 2) = 10 * 10 = 100 ways.
2. Selecting 3 questions from one part and 3 questions from the other part: This can be done in 5 choose 3 ways for each part. So the total number of ways is (5 choose 3) * (5 choose 3) = 10 * 10 = 100 ways.
3. Selecting all 5 questions from one part and 1 question from the other part: This can be done in 5 ways for each part. So the total number of ways is 5 * 5 = 25 ways.

Adding up these three scenarios, we get a total of 100 + 100 + 25 = 225 ways. Therefore, the correct answer is 225 ways (which is not given in the options provided).