Q1. How many 7-digits numbers can be formed by using the digits 1, 2, 0, 2, 4, 2 and 4?
(a) 720
(b) 360
(c) 420
(d) 120
(e) 620
Q2. Find the number of ways in which the letters of the word ARRANGE can be arranged such that both R do not come together.
(a) 950
(b) 800
(c) 900
(d) 750
(e) 920
Q3. A teacher wants to select a girl out of 6 and a boy out of 8 for the drawing competition. In how many ways can be select?
(a) 48
(b) 52
(c) 36
(d) 24
(e) 60
Q4. There are 6 students to be seated around a circular table. In how many ways they can be seated if two particular persons are next to each other.
(a) 60
(b) 52
(c) 72
(d) 48
(e) 42
Q5. 3 men and 3 women are to sit at a round table. In how many different ways can they sit so that no 2 women sit together?
(a) 16
(b) 12
(c) 18
(d) 21
(e) 10
Solutions (1-5):
Q6. The Chief Minister of 11 states of India meet to discuss the water problem. In how many ways can they sit at a round table so that the Punjab and Uttar Pradesh Chief Ministers sit together.
(a) 725860
(b) 755760
(c) 725760
(d) 625760
(e) 765260
Q8. How many three digits number can be formed by using the digits 0, 2, 4, 6, 7 if repetition of digits is not allowed.
(a) 52
(b) 60
(c) 48
(d) 36
(e) 72
Q9. Find the numbers between 100 and 1000 in which all digits are distinct.
(a) 548
(b) 648
(c) 748
(d) 448
(e) 684
Q10. The letters of the word PROMISE are to be arranged so that three vowels should not come together. Find the number of arrangements.
(a) 3420
(b) 4320
(c) 5320
(d) 6420
(e) 4420
Solutions (6-10):
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