How many numbers are these between 100 and 1000 such that every digit is either 4 or 5?
1
6
8
None of these
A bag contains 3 red, 6 white and 7 black balls. Two balls are drawn at random. What is the probability that both are black?
Refer to the data below and answer the questions that follow.
There are 5 girls Anne, Julie, Jean, Mary Lily, and 5 hats of different colours red, blue green, yellow and violet. The hats are distributed in such a manner that a girls any number of hats from 0 to 5.
In how many ways can a girl get exactly 3 hats?
125
60
800
50
Refer to the data below and answer the questions that follow.
There are 5 girls Anne, Julie, Jean, Mary Lily, and 5 hats of different colours red, blue green, yellow and violet. The hats are distributed in such a manner that a girls any number of hats from 0 to 5.
In how many ways can Anne get a blue hat and Jean a yellow hat?
27
54
125
10
Refer to the data below and answer the questions that follow.
There are 5 girls Anne, Julie, Jean, Mary Lily, and 5 hats of different colours red, blue green, yellow and violet. The hats are distributed in such a manner that a girls any number of hats from 0 to 5.
In how many ways can Marry get exactly one hat?
256
625
24
120
A five-digit number is formed using digits 1, 3, 5, 7 and 9 without repeating any one of them. What is the sum of all such possible numbers?
6666600
6666660
6666666
None of them
139 persons have signed for a elimination tournament. All players are to be paired up for the first round, but because 139n is an odd number one player gets a bye, which permotes him to the second round, without actually playing in the first round. The pairing continues on the next round, with a bye to any player left over. If the shedule is planned so that a minimum number of matches is required to determine the champion, the number of matches which must be played is:
136
137
138
139
A man has 9 friends 4 boys and 5 girls. In how many ways can he invite them, if there have to be exactly 3 girls in the invitees?
320
160
80
200
In how many ways can eight directors, Vice-chairman and Chairman of a firm be seated at a round table if the Chairman has to sit between the Vice-chairman and a director?
9! * 2
2 * 8!
2 * 7!
None of these
Five-digit numbers are formed using only 0, 1, 2, 3, 4 exactly once. What is the difference between the greatest and smallest number can be formed?
19800
41976
32976
None of these