**1. For a group photograph, 3 boys and 4 girls stand in a line in all possible ways. How many photos could be taken if each photo corresponds to each such arrangement?**

(a) 2656

(b) 6600

(c) 3540

(d) 5040

(e) 5130

**2. A team of 16 cricketers is selected for the ODI series. It consists of 10 old players and 6 new players. As a principle, it was decided that the team playing any of the matches must contain 8 old players and 3 new players. The number of ways the team can be selected, is**

(a) 1250

(b) 900

(c) 850

(d) 450

(e) None of these

**3. The number of 3-digit numbers which can be formed from the digit 1, 2, 3, 4 and 5 if repetition of digits is allowed, is**

(a) 15

(b) 125

(c) 5!

(d) 3!

(e) None of these

**4. Find the number of ways of arranging 6 boys and 4 girls in a row so that all the girls sit together.**

(a) 7! × 4!

(b) 7 × 4!

(c) 7! × 4

(d) 7! × 4! × 2!

(e) None of these

**5. Out of 8 men and 5 women, a committee of 5 is to be formed. Find the number of ways in which this can be done so as to include at least 3 women.**

(a) 328

(b) 326

(c) 324

(d) 322

(e) None of these

**6. Out of 13 applicants for a job, there are 5 women and 8 men. It is desired to select 2 persons for the job. The probability that at least one of the selected persons will be a woman, is**

(a) 25/39

(b) 14/35

(c) 5/13

(d) 10/13

(e) 1/2

**7. The probability that a man can hit a target is ¾. He tries 5 times. The probability that he will hit the target at least three times, is**

(a) 291/364

(b) 371/464

(c) 471/502

(d) 459/512

(e) None of these

**8. A bag contains 12 white and 18 black balls. Two balls are drawn in succession without replacement. What is the probability that first is white and second is black?**

A) 36/135

B) 36/145

C) 18/ 91

D) 30/91

E) None of these

**9. An elevator starts with 5 passengers and stops at 8 different floors of the house. Find out the probability of all the 5 passengers alighting at different floors.**

(a) 101/512

(b) 105/512

(c) 107/512

(d) 109/512

(e) None of these

**10. If a 4-digit number is formed at random using the digits 1, 3, 5, 7 and 9 without repetition, then the probability that it is divisible by 5, is**

(a) 4/5

(b) 3/5

(c) 1/6

(d) 2/3

(e) 1/5

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