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What Is Constant Of Integration

A constant term can be added to the indefinite integral and would still refer to the same integral. Therefore, a constant is also added along... View Article

What Happens If The Determinant Of A 3 3 Matrix Is 0

When the determinant of a 3x3 matrix is zero, it shows that rows and columns are linearly dependent vectors. And that matrix is not invertible.... View Article

How Do You Calculate A Factorial

Factorial is a multiplication operation. The factorial of a positive integer “n” can be represented by the symbol “n!”. Read more. The formula... View Article

How Many Elements Are There In 6th Period

The sixth period contains 32 elements. Also Read: Periodic Table of Elements... View Article

How Many Numbers Can Be Formed From The Digits 1234 When The Repetition Is Not Allowed

1) 4P4 2) 4P3 3) 4P1 + 4P2 + 4P3 4) 4P1 + 4P2 + 4P3 + 4P4 Answer: 4P4 Solution: Given, four digits 1,2,3,4 to be arranged.... View Article

The Number Of Ways In Which 6 Rings Can Be Worn On The Four Fingers Of One Hand Is

1) 46 2) 6C4 3) 64 4) None of these Answer: (1) 46 Solution: One ring can be worn in 4 ways Therefore, six rings can be worn in 46 ways... View Article

If The Best And The Worst Papers Never Appear Together Then Six Examination Papers Can Be Arranged In How Many Ways

1) 120 2) 480 3) 240 4) None of these Answer: (2) 480 Solution: Given, the best and the worst papers never appear together. Total number... View Article

20 People Are Invited For A Party In How Many Different Ways Can They And The Host Be Seated At A Circular Table

1) 20! 2) 2.18! 3) 18! 4) None of these Answer: (2) 2 x 18! Solution: Including host, there 21 people in party Since, two particular... View Article

The Number Of Circular Permutations Of N Different Objects Is

1) n! 2) n 3) (n – 2)! 4) (n – 1)! Answer: (4) (n-1)! Solution: The number of circular permutations of n different objects taken all at a... View Article

The Number Of Ways That 8 Beads Of Different Colours Be String As A Necklace Is

1) 2520 2) 2880 3) 5040 4) 4320 Answer: (1) 2520 Solution: Number of ways of arranging 8 beads in a necklace = (8-1)!/2 = 7!/2 = 2520... View Article

The Number Of Ways Four Boys Can Be Seated Around A Roundtable In Four Chairs Of Different Colours Is

1) 24 2) 12 3) 23 4) 64 Answer: (1) 24 Solution: All the chairs are of different colours. Therefore, the number of ways four boys can be... View Article

The Number Of Ways In Which 6 Men And 5 Women Can Dine At A Round Table If No Two Women Are To Sit Together Is Given By

1) 6! × 5! 2) 30 3) 5! × 4! 4) 7! × 5! Answer: (1) 6! x 5! Solution: Number of ways in which 6 men can sit in a round table = 5! [by... View Article

If Eleven Members Of A Committee Sit At A Round Table So That The President And Secretary Always Sit Together Then The Number Of Arrangements Is

1) 10! × 2 2) 10! 3) 9! × 2 4) None of these Answer: (3) 9! x 2 Solution: As per given statement, out of eleven numbers, two members sit... View Article

The Least Positive Integer K For Which Kn2n2 12n2 22n2 32n2 N 12 R For Some Positive Integers R Is

1) 2002 2) 2004 3) 1 4) 2 Answer: (4) 2 Solution: k(n2)(n2 -12)(n2 - 22)(n2 - 32)......[n2 - (n -1)2 ] = r! Using a2-b2 = (a-b)(a+b)... View Article

There Are Three Piles Of Identical Yellow Blackand Green Balls And Each Pile Contains At Least 20 Balls The Number Of Ways

1) 6 2) 7 3) 8 4) 9 Answer: (2)7 Solution: Let, number of yellow balls = a, number of black balls = 2a and number of green balls = b. As... View Article