1.
A
shop sells two kinds of rolls-egg roll and mutton roll. Onion, tomato, carrot,
chilli sauce and tomatosauce are the additional ingredients. You can have any
combination of additional ingredients, or have standard rolls without any
additional ingredients subject to the following constraints:
(a)
You
can have tomato sauce if you have an egg roll, but not if you have a mutton
roll.
(b)
If
you have onion or tomato or both you can have chilli sauce, but not otherwise.
How
many different rolls can be ordered according to these rules?
a)
21 b) 33 c) 40 d) 42 e) None of the above
2.
A
student wants to make up a schedule for a 7-day period during which she will
study one subject each day. She is taking four subjects: mathematics, physics, chemistry
and economics. The total number of different schedules is 47. The
number of schedules that devote at least one day to each subject is
a)
8400 b) 8404 c) 8748 d) None of the above
