The value of [latex]^{20}P_{2}[/latex] is?
1) 20 2) 19 3) 380 4) None of these Answer: (3) 380 Solution: \(\begin{array}{l}^{20}P_{2}\end{array} \) = 20!/(20-2)! = 20!/18!... View Article
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How Many Numbers Greater Than Hundred And Divisible By 5 Can Be Made From The Digits 3456 If No Digit Is Repeated
1) 6 2) 12 3) 24 4) 30 Answer: (2) 12 Solution: Total three digit numbers formed divisible by 5... View Article
The Number Of 7 Digit Numbers Which Can Be Formed Using The Digits 1232334 Is
1) 420 2) 840 3) 2520 4) 5040 Answer: (1) 420 Solution: Given, 1,2,3,2,3,3,4 are the seven digits 2 → two... View Article
In How Many Ways Can 5 Boys And 5 Girls Stand In A Row So That No Two Girls May Be Together
1) (5!)2 2) 5! × 4! 3) 5! × 6! 4) 6 × 5! Answer: (3) 5! x 6! Solution:... View Article
All The Letters Of The Word Eamcet Are Arranged In All Possible Ways The Number Of Such Arrangements Is
1) 360 2) 114 3) 72 4) 54 Answer: (3) 72 Solution: Given, the word EAMCET Vowels = E,A,E Consonants... View Article
The Number Of Ways In Which Ten Candidates A1 A2 A10 Can Be Ranked Such That A1 Is Always Above A10 Is
1) 5! 2) 2(5!) 3) 10! 4) 10!/2 Answer: (4) 10!/2 Solution: total number of ways to arrange ten candidates... View Article
All Possible Four Digit Numbers Are Formed Using The Digits 0123 So That No Number Has Repeated Digits
1) 9 2) 18 3) 10 4) None of these Answer: (2) 18 Solution: There are four digits 0,1,2,3 For... View Article
If A Denotes The Number Of Permutations Of X 2 Things Taken All At A Time B The Number Of Permutations Of X Things Taken 11
1) 15 2) 12 3) 10 4) 18 Answer: (2) 12 Solution: a denotes the number of permutations of x... View Article
Eleven Books Consisting Of 5 Mathematics 4 Physics And 2 Chemistry Are Placed On A Shelf The Number Of Possible Ways
1) 4! 2! 2) 11! 3) 5! 4! 3! 2! 4) None of these Answer: (3) 5! 4! 3! 2!... View Article
How Many Numbers Can Be Made With The Digits 345678 Lying Between 3000 And 4000 Which Are Divisible By 5
1) 60 2) 12 3) 120 4) 24 Answer: (2) 12 Solution: Given, the digits are 3,4,5,6,7,8 We need to... View Article
The Number Of 4 Digit Numbers That Can Be Formed From The Digits 01234567 So That Each Number Contains Digit 1 Is
1) 1225 2) 1252 3) 1522 4) 750 Answer: (4) 750 Solution: There are eight digits given to us: 0,1,2,3,4,5,6,7... View Article
In A Circus There Are Ten Cages For Accommodating Ten Animals Out Of These Four Cages Are So Small
1) 66400 2) 86400 3) 96400 4) None of these Answer: (2) 86400 Solution: Number of ways to accommodate 5... View Article
How Many Numbers Lying Between 99 And 1000 Be Made From The Digits 237086 When The Digits Occur Only Once In Each Number
1) 100 2) 90 3) 120 4) 80 Answer: (1) 100 Solution: Between 99 and 1000 there are all three... View Article
The Number Of Words That Can Be Formed Out Of The Letters Of The Word Article So That The Vowels Occupy Even Places Is
1) 36 2) 574 3) 144 4) 754 Answer: (3) 144 Solution: Given, the word ARTICLE Here there are three... View Article
How Many Words Can Be Formed With The Letters Of The Word Mathematics By Rearranging Them
1) 11!/(2!.2!) 2) 11!/2! 3) 11!/(2!.2!.2!) 4) 11! Answer: (3) 11!/(2!.2!.2!) Solution: Given, the word MATHEMATICS Here, there are 2M’s,... View Article
The Number Of 5 Digit Telephone Numbers Having At Least One Of Their Digits Repeated Is
1) 90,000 2) 1,00,000 3) 30,240 4) 69,760 Answer: (4) 69,760 Solution: Number of 5-digit numbers when all the digits... View Article
In How Many Ways 3 Letters Can Be Posted In 4 Letterboxes If All The Letters Are Not Posted In The Same Letter Box
1) 63 2) 60 3) 77 4) 81 Answer: (2) 60 Solution: Given, there are three letters and 4 letter-boxes... View Article
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
1) 25/39 2) 14/39 3) 5/13 4) 10/13 Solution: Option (1) 25/39 Total cases = 13C2 Favourable cases = 5C1.8C1... View Article
A Lot Consists Of 12 Good Pencils 6 With Minor Defects And 2 With Major Defects A Pencil Is Chosen At Random The Probability That This Pencil Is
1) 3/5 2) 3/10 3) 4/5 4) 1/2 Solution: Option (1) ? Total number of pencils = 20 Total number... View Article
A Mapping Is Selected At Random From The Set A 1 2 N Into Itself The Probability That The Mapping Selected Is An Injection Is
1) 1/nn 2) 1/n! 3) (n-1)!/nn-1 4) n!/nn-1 Solution: Option (3) (n-1)!/nn-1 The total number of functions from set A... View Article
