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There Are 9 Chairs In A Room On Which 6 Persons Are To Be Seated Out Of Which One Is Guest

1) 6720 2) 60480 3) 30 4) 346 Answer: (1) 6720 Solution: There are 9 chairs and 6 persons to be seated One chair is specific for the... View Article

To Fill 12 Vacancies There Are 25 Candidates Of Which Five Are From Scheduled Caste If 3 Of The Vacancies

1) 5C3 x 22C9 2) 22C9 - 5C3 3) 22C3 + 5C3 4) None of these Answer: (1) 5C3 x 22C9 Solution: There are 25 candidates 3 vacancies can... View Article

In How Many Ways Can 6 Persons Be Selected From 4 Officers And 8 Constables If At Least One Officer

1) 224 2) 672 3) 896 4) None of these Answer: (3) 896 Solution: Number of ways choosing 6 persons from 12 persons = 12C6 Number of ways... View Article

The Number Of Groups That Can Be Made From 5 Different Green Balls 4 Different Blue Balls And 3 Different Red

1) 3700 2) 3720 3) 4340 4) None of these Answer: (2) 3720 Solution:Total number of group of balls = 212 Group of balls with no green... View Article

Six And Four Signs Are To Be Placed In A Straight Line So That No Two Signs Come Together

1) 15 2) 18 3) 35 4) 42 Answer: (3) 35 Solution: The required number of ways = 7C4 = 35... View Article

In The 13 Cricket Players 4 Are Bowlers Then How Many Ways Can Form A Cricket Team Of 11 Players

1) 55 2) 72 3) 78 4) None of these Answer: (3) 78 Solution: Given, 13 cricket players and 4 bowlers We need to find the number of ways of... View Article

How Many Words Of 4 Consonants And 3 Vowels Can Be Formed From 6 Consonants And 5 Vowels

1) 75000 2) 756000 3) 75600 4) None of these Answer: (2) 756000 Solution: We need to find the number of words of 4 consonants and 3 vowels... View Article

The Number Of Ways Of Dividing 52 Cards Amongst Four Players Equally Are

1) (52!)/(13!)4 2) 52!/[(13!)2.4!] 3) 52!/[(12!)4.(4!)] 4) None of these Answer: (1) (52!)/(13!)4 Solution: The number of ways of... View Article

Choose The Correct Number Of Ways In Which 15 Different Books Can Be Divided Into Five Heaps

1) 15!/[5!.(3!)5] 2) 15!/(3!)5 3) 15C5 4) 15P5 Answer: (1) 15!/[5!.(3!)5] Solution: The required number of ways = 15C3 x 12C3 x 9C3... View Article

Out Of 6 Books In How Many Ways Can A Set Of One Or More Books Be Chosen

1) 64 2) 63 3) 62 4) 65 Answer: (2) 63 Solution: Number of ways of choosing one book = 6C0 = 1 Number of ways a set of one or more books... View Article

A Student Is To Answer 10 Out Of 13 Questions In An Examination Such That He Must Choose At Least 4

1) 140 2) 196 3) 280 4) 346 Answer: (2) 196 Solution: Required number of choices available = 5C5 x 8C5 + 5C4 x 8C6 = 196... View Article

Two Packs Of 52 Cards Are Shuffled Together The Number Of Ways In Which A Man Can Dealt 26 Cards

1) 52C26.226 2) 104C26 3) 2.52C26 4) None of these Answer: (1) 52C26.226 Solution: Number of ways in which a man can he dealt 26... View Article

If Ncr Denotes The Number Of Combinations Of N Things Taken R At A Time Then Expression Ncr1 Ncr1 2 X Ncr Equals

1) n+2Cr 2) n+2Cr+1 3) n+1Cr 4) n+1Cr+1 Answer: (2) n+2Cr+1 Solution: nCr+1 + nCr-1 + 2 x nCr = nCr+1+nCr−1+nCr + nCr =... View Article

Assuming The Balls To Be Identical Except For Difference In Colours The Number Of Ways In Which One Or More

1) 880 2) 629 3) 630 4) 879 Answer: (4) 879 Solution: Number of ways of choosing one or more balls from 10 white, 9 green and 7 black... View Article

A Student Is Allowed To Select At Most N Books From A Collection Of 2n 1 Books If The Total Number Of Ways

1) 2 2) 3 3) 4 4) None of these Answer: (2) 3 Solution: As per the given condition, 2n+1C1 + 2n+1C2 + …..+2n+1Cn = 63 = X As we know,... View Article

In How Many Ways A Team Of 11 Players Can Be Formed Out Of 25 Players If 6 Out Of Them Included

1) 2020 2) 2002 3) 2008 4) 8002 Answer: (2) 2002 Solution: There are total 25 players. Out of them we have to include 6 players always and... View Article

Ncr N1cr Rcr

1) n+1Cr 2) n+1Cr+1 3) n+2Cr 4) 2n Answer: (2) n+1Cr+1 Solution: nCr+n-1Cr+...+rCr = nCr+n−1Cr+n−2Cr+.....+r+1Cr+rCr =... View Article

How Many Ways Can 21 English And 19 Hindi Books Be Placed In A Row So That No Two Hindi Books Are Together

1) 1540 2) 1450 3) 1504 4) 1405 Answer: (1) 1540 Solution: To place 21 English books in we have 22 gaps. Therefore, 19 hindi books can be... View Article

In An Election Number Of Candidates Is 1 Greater Than Persons Elected If A Voter Can Vote In 254 Ways

1) 7 2) 10 3) 8 4) 6 Answer: (3) 8 Solution: If we have n number of candidates, then, nC1+nC2+...+nCn-1 = 254 2n - 2 = 254 2n = 28 n=8... View Article

How Many Ways Can 5 Red And 4 White Balls Be Drawn From A Bag Containing 10 Red And 8 White Balls

1) 8C5x10C4 2) 10C5x8C4 3) 18C9 4) None of these Answer: (2) 10C5x8C4 Solution: We have 10 red balls and 8 white balls 5 red and 4... View Article