A, B, C, D and E sit on five chairs all of which are facing ...

A, B, C, D and E sit on five chairs all of which are facing north. C will sit only on the leftmost chair and B will not sit anywhere to the left of A. In how many ways they can be seated?

Course Name: Quantitative Aptitude

1]
10
2]
18
3]
36
4]
12

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1 Discuss	A number lock on a suitcase has 3 wheels each labeled with 10 digits from 0 to 9. If the opening of the lock is a particular sequence of three digits with no repeats, how many such sequences will be possible? 1] 720 2] 760 3] 780 4] 680 Solution
10 Discuss	A box contains two white balls, three black balls and four red balls. Balls of the same colour are distinct. The number of ways in which three balls can be drawn from the box if atleast one black ball is to be included in the draw, is 1] 32 2] 64 3] 128 4] None Of These Solution
2 Discuss	A person tosses an unbiased coin. When head turns up, he gets Rs.8 and tail turns up he loses Rs.4. If 3 coins are tossed, what is probability that he gets a profit of Rs.12? 1] 3/8 2] 5/8 3] 3/4 4] 1/8 Solution Person will get profit of Rs 12 only when there is 2H (Head) and 1T (Tail) H + H + T = 12 8 + 8 + (-4) = 12 Total outcome of 2 head and 1 tail = 2³ = 8 i.e (T, H, TH, HT, HH, HHT, HTH, THH) Total event with 2H and 1 T is 3 therfore probability = 3/8
3 Discuss	How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated 1] 5 2] 10 3] 15 4] 20 Solution
4 Discuss	The number of circles that can be drawn out of 10 points of which 7 are collinear is 1] 130 2] 85 3] 45 4] 72 Solution
5 Discuss	In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together? 1] 120 2] 720 3] 4320 4] 2160 Solution
6 Discuss	One red flower, three white flowers, and two blue flowers are arranged in a line such that I. No two adjacent flowers are of the same color. II. The flowers at the two ends of the line are of different colors. In how many different ways can the flowers be arranged? 1] 2 2] 4 3] 6 4] 10 Solution
7 Discuss	A polygon has 44 diagonals. What is the number of its sides? 1] 7 2] 8 3] 9 4] 11 Solution
8 Discuss	One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is not a face card (Jack, Queen and King only)? 1] 5/13 2] 10/13 3] 1/13 4] 1/26 Solution
9 Discuss	Ten participants are participating in a competition. In how many ways can the first three prizes be won? 1] 920 2] 680 3] 720 4] 820 Solution
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