Q: A box contains 7 red, 6 white and 4 blue balls. 3 balls are drawn. If there is one ball of each colour, then the number of selections is:
A: 168
Q: There are 3 boxes and 6 balls. In how many ways these balls can be distributed if all the balls and all the boxes are different ?
A: 729
Q: In how many ways the word "PIRATE" can be arranged so that vowels do not come together?
A: 576
Q: In how many ways 8 Indians, 4 American, and 4 Englishmen can be seated in a row so that all people of the same nationality sit together?
A: 3! 4! 8! 4!
Q: Balu needs to choose 1 or more out of the 4 different garments that he has to export to a customer outside his town. How many ways Balu can choose?
A: 15
Q: In how many ways can 10 engineers and 4 doctors be seated at a round table without any restriction?
A: 13!
Q: Find the number of ways in which 8 different diamonds can be arranged to make a necklace?
A: (1/2)*(7)!
Q: The total number of ways of answering 5 objective type questions, each question having 4 choices is
A: 1024
Q: In how many ways the word "GRAPES" can be arranged?
A: 720
Q: There are 6 letters for 3 envelopes. In how many different ways can the envelopes be filled?
A: 120
Q: Find the number of triangles that can be formed by joining the 6 non-collinear points on a plane.
A: 20
Q: What are the possible permutations of 7 switches that can be either on or off?
A: 128
Q: A box contains 7 red, 6 white, and 4 blue balls. 3 balls are drawn. If there is one ball of each color, then the number of selections is:
A: 168
Q: If nPr = nCr, then find the value of r
A: 0 or 1
Q: The number of ways that 8 beads of different colours be strung as a necklace is
A: 2520
Q: How many 5 digit even numbers with distinct digits can be formed using the digits 1, 2, 5, 5, and 4?
A: 24
Q: In how many ways the word "ORANGE" can be arranged so that vowels never come together?
A: 144
Q: In how many ways 5 different rings can be worn on 4 fingers?
A: 45
Q: How many four digit number can be formed without repetition from the digits {4,5,6,7,8,9} ?
A: 360
Q: In how many ways the word "MOBILE" can be arranged?
A: 720
Q: A group consists of 4 girls and 7 boys. In how many ways can a group of 5 members be selected if the team has no girls?
A: 21
Q: A company could advertise its new product in 5 magazines, 4 newspapers, and 3 television channels. But in a later move, it decided to give advertisements in only 2 of the magazines, one of the newspapers and one of the TV channel. In how many ways can they advertise?
A: 120
Q: 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?
A: 20
Q: There are 8 men and 7 women. In how many ways a group of 5 people can be made such that at least 3 men are there in the group?
A: 1722
Q: In how many ways the word "MANGO" can be arranged so that vowels are always together?
A: 48
Q: In how many ways 6 rings of different type can be worn in 4 fingers?
A: 46
Q: How many words of 4 letters with or without meaning be made from the letters of the word ‘LEADING’, when repetition of letters is allowed?
A: 2401
Q: The number of arrangements of the letters of the word SALOON, if the two O’s do not come together, is
A: 240
Q: In how many ways can a person send invitation cards to 6 of his friends if he has four servants to distribute the cards?
A: 46
Q: In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
A: 63