Exhaustive Events

Q. How many numbers each lying between 9 and 1000 can be formed with the digits 0, 1, 2, 3, 7, 8 (numbers can be repeated)?

1. 30
2. 120
3. 210
4. 90

Q. In how many ways can 5 letters be posted in 4 letter boxes?

1. 1024
2. 625
3. 512
4. 20

Q. In how many ways 4 rings of different types can be worn in 3 fingers?

1. 49
2. 12
3. 81
4. 24

Q. A letter lock consists of 4 rings, each ring contains 9 non-zero digits. This lock can be opened by setting a 4 digit code with the proper combination of each of the 4 rings, Maximum how many codes can be formed to open to open the lock

1. none of these
2. $4^9$
3. ${}^9{P}_4$
4. $9^4$

Q. In how many ways can 5 prizes be given away to 4 boys, when each boy is eligible for all the prizes?

1. 1024
2. 20
3. 540
4. 625

Q. Exhaustive Events, 1

1. 2
2. 3
3. 4
4. 1

Q. Exhaustive Events, 3

1. 2
2. 3
3. 4
4. 1

Q. Exhaustive Events, 5

1. 3
2. 4
3. 1
4. 2

Q. If there are two children in a family, find the probability that there is atleast one girl(children) in the family.

1. $\frac{1}{2}$
2. $\frac{3}{4}$
3. none of these
4. $\frac{1}{4}$

Q. From a pack of 52 cards, a card is drawn randomly. Find the probability that the card drawn is either a heart, a queen or a king.

1. $\frac{17}{52}$
2. $\frac{21}{52}$
3. $\frac{19}{52}$
4. $\frac{9}{26}$