exam Maths Puzzle

A student is required to answer 6 out of 10 questions divided into two groups each containing 5 questions. He is not permitted to attempt more than 4 from each group. In how many ways can he make the choice?

A.

210

B.

150

C.

100

D.

200

Read Solution (Total 1)

It can be arranged in 10C4 ways, which is 210
now, more than 4 can be arranged as, 2(5C5 * 5C4), which is 10
210-10 = 200
7 years agoHelpfull: Yes(0) No(0)

exam Other Question

In how many ways can the letters of the word MANAGEMENT be rearranged so that the two As do not appear together?

A.

10! - 2!

B.

9! - 2!

C.

10! - 9!

D.

None of these While packing for a business trip Mr. Debashis has packed 3 pairs of shoes, 4 pants, 3 half-pants,6 shirts, 3 sweater and 2 jackets. The outfit is defined as consisting of a pair of shoes, a choice of "lower wear" (either a pant or a half-pant), a choice of "upper wear" (it could be a shirt or a sweater or both) and finally he may or may not choose to wear a jacket. How many different outfits are possible?

A.

567

B.

1821

C.

743

D.

1701