Question

A question paper is divided into 3 sections A, B, C containing 3,4,5 questions respectively. Find
the number of ways of attempting 6 questions choosing atleast one from each section.​

Answer 1

Step-by-step explanation:

no of combinations= A B C total

1 1 4 6

1 2 3 6

1 3 2 6

1 4 1 6

2 1 3 6

2 2 2 6

2 3 1 6

3 1 2 6

3 2 1 6

∴

3

C

1

×

4

C

1

×

5

C

4

+

3

C

1

×

4

C

2

×

5

C

3

......+

3

C

3

×

4

C

2

×

5

C

1

⇒850ways

Answer 2

Answer:

no of combinations= A B C total

1 1 4 6

1 2 3 6

1 3 2 6

1 4 1 6

2 1 3 6

2 2 2 6

2 3 1 6

3 1 2 6

3 2 1 6

∴

3

C

1

×

4

C

1

×

5

C

4

+

3

C

1

×

4

C

2

×

5

C

3

......+

3

C

3

×

4

C

2

×

5

C

1

⇒850ways