Question

In an examination 10 questions are to be answered choosing at least 4 from each of part a and part

b. if there are 6 questions in part a and 7 in part b, in how many ways can these 10 questions be answered ?

Answer 1

you can 4 from part a and 4 from part b and the remaining two u can take one from each part

Answer 2

Answer:

266

Step-by-step explanation:

If the student does the followiing selections of the questions, there are following ways to get the outcomes-

Part A- 4, PartB-6 or

Part A-5,Part B-5 or

Part A-6,Part B-6.

Therefore, the selection will be like-

6C4.7C6+6C5.7C5+6C6.7C4

(6!/2!4!)(7!/1!6!)+(6!/5!)(7!/2!5!)+(6!/6!)(7!/3!4!)

after soving and cancellations , we get,

7.3.5+6.7.3+7.5

=7(3.5+6.3+5)

=7(15+18+5)

=7(20+18)

=7(38)

=266