if letters of the word MATHEMATICS are arranged then the probability that C come before E,E before H ,H before I and I before S
A. `(1)/(75)`
B. `(1)/(24)`
C. `(1)/(120)`
D. `(1)/(720)`
Correct Answer - C
`(c )` The total number of arrangments is `(11!)/(2!2!2!)=(11!)/(8)`
The number of arrangements in which `CE,H,I,S` appear in that order `"^(11)C_(5)(6!)/(2!2!2!)=(11!)/(8*5!)`
`:.` Required Proability `=((11!)/(8*5!))/((11!)/(8))=(1)/(120)`
Correct Answer - `1 - (1)/(n!)`
Required probability is 1 - P(all letters in right envelope) = 1 - 1/n!
(As there are total number of n! ways in which letters...
Correct Answer - `(11!)/(.^(9)P_(4)xx6! xx 2!)`
Total number of ways of arranging 11 letters is (11)! The number of selection of 4 letters to be placed between R and E from...
Correct Answer - `13//25`
Consider the following events:
A: A student is passed in Mathematics
B: A student is passed in Statistics
Then,
`P(A) = (70)/(125), P(B) = (55)/(125), P(A nn...
Correct Answer - B
`P(SnnF)=0.0006,` where S is the event that the motor cycle is stolen and F is the event that the mioter cycle is found. Therefore,
`P(S)=0.0015`
`P(F//S)=(P(FnnS))/(P(S))=(6xx10^(-4))/(15xx10^(-4))=2/5`
Correct Answer - A
`(a)` The other five letters (other than `G`, `R`, `L`, `A`, `S`, `N`) in `11` places can be arranged in `"^(11)P_(5)` ways.
Then three remains six places....
(a) signed – The advocate took all the signed documents to the court.
(b) prized – My grandmother’s diary is a prized possession for me.
(c) flattened – On the highway we were in great...
