The number of ways can five people be divided into three groups is
A. `20`
B. `25`
C. `30`
D. `36`
1 Answers
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There are only two women among 20 persons taking part in a pleasure trip. The 20 persons are divided into two groups, each group consisting of 10 pers
Correct Answer - A The number of ways in which 20 people can be divided into two equal group is `n(S) = (20!)/(10! 10! 2!)` The number of ways in which...
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A three-digit number is selected at random from the set of all three-digit numbers. The probability that the number selected has all the three digits
Correct Answer - D Three-digit numbers are 100, 101, …, 999. Total number of such numbers is 900. The three-digit numbers (which have all same digits) are 111, 222, 333, …,...
2 Answers 1 views
Expand ICAI All accounts are divided into five categories. (State True/Fal
Expand ICAI All accounts are divided into five categories:True
2 Answers 1 views
There are `10` different books in a shelf. The number of ways in which three books can be selected so that exactly two of them are consecutive is
Correct Answer - C `(c )` `B_(1)B_(2)B_(3)…B_(7)B_(8)B_(9)B_(10)` `(i)` When two terminal books are taken (`B_(1)B_(2)` or `B_(9)B_(10)`) then number of ways `=2xx7=14` `(ii)` When two consecutive terminal books are not taken...
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Five oys and three girls are sitting in a row of `8` seats. Number of ways in which they can be seated so that not all the girls sit side by side is
Correct Answer - A `(a)` Total no. of arrangement if all the girls do not seat side by side `=["all arrangement"-"girls seat side by side"]` `=8!-(6!xx3!)` `=6!(56-6)=6!xx50` `=720xx50=36000`
2 Answers 1 views
Sixteen players `S_(1)`, `S_(2)`, `S_(3)`,…,`S_(16)` play in a tournament. Number of ways in which they can be grouped into eight pairs so that `S_(1)
Correct Answer - A `(a)` Required number of ways `=("Number of ways in which" 16 "players can be divided in" `8` "couples")-("Number of ways when" S_(1) "and" S_(2) "are in the...
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A number is selected at random from the first twenty-five natural numbers. If it is a composite number, then it is divided by `5`. But if it is not a
Correct Answer - C `(c )` Let `C=` the event of the selected number being composite, `E=` the event of there being no remainder. `P(C )=(n(C ))/(n(S))=(15)/(25)=(3)/(5)`, `P(barC)=(2)/(5)` `P(E//C)=(4)/(15)`, `P(E//barC)=(1)/(10)` `P(E)=P(C...
2 Answers 1 views
When twice a non zero positive numbr is divided by its cube root the quotient is obtained as 32 .If the cube of the number is divided by the number it
Correct Answer - `4^(6)`
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In a group of `1000` people, there are `750` people, who can speak Hindi and `400` people, who can speak Bengali. `(i)` Find number of people who can
Correct Answer - `(i)600 (ii) 250 (iii) 150 `
2 Answers 1 views
Most of the operators can be divided into groups __________, __________ and __________ operators.
(C) Arithmetic, (D) Relational, (E) Logical
2 Answers 2 views