Latest exam Aptitude Question SOLUTION: 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 o

• Placement Papers
• /
• exam

exam Question Papers:

(#M40020795) EXAM question permutation Keep an EYE

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

Asked In exam MAN (11 years ago)

Unsolved Read Solution (1)

Is this Puzzle helpful?   (2)   (1) Submit Your Solution

Read Solution (1) :

akash singh  (5 years ago)

Number of ways a pair of shoes can be selected =3C1=3 ways.
Number of ways "lower wear" can be selected =(3+4)=7 ways
Number of ways "upper wear" can be selected =3+6+3×6=27 ways
Number of ways jacket can be chosen or not chosen = 3 ways {No jacket, 1st jacket, 2nd jacket)

⇒ Total number of different outfits =3×7×27×3= 1701 ways.

Is this solution Helpfull? Yes | No   

Please Login to Read Solution.