Seven digits from the numbers 1, 2, 3, 4...

Seven digits from the numbers 1, 2, 3, 4, 5, 6, 7, 8 and 9 are written in random order. The probability that this seven digit number is divisible by 9 is :

`2/9`

`7/36`

`1/9`

`7/12`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

PROBABILITY
DISHA PUBLICATION|Exercise PRACTICE EXERCISE (EXPERT LEVEL)|46 Videos
PROBABILITY
DISHA PUBLICATION|Exercise TEST YOURSELF|15 Videos
PROBABILITY
DISHA PUBLICATION|Exercise PRACTICE EXERCISE (FOUNDATION LEVEL)|83 Videos
PERMUTATIONS AND COMBINATIONS
DISHA PUBLICATION|Exercise TEST YOURSELF|15 Videos
PROFIT, LOSS AND DISCOUNT
DISHA PUBLICATION|Exercise Test Yourself|15 Videos

Similar Questions

Explore conceptually related problems

Seven digits from the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9 are written in random order. Let the probability that this number is divisible by 9 be p=a/b . Where a, b are relatively prime positive integers, then the value of a + b is ……….

Seven digits from the numbers 1 to 9 are written in random order. If the probability that this seven digit number divisible by 9 is p, then the value of 18p is

Five different digits from the set of numbers {1, 2, 3, 4, 5, 6, 7} are written in random order. Find the probability that five-digit number thus formed is divisible by 9.

The digits 1,2,3,4,5,6,7,8 and 9 are written in random order to form a nine digit number. The probability that this number is divisible by 4, is

The digits 1, 2, 3, 4, 5, 6, 7, 8, 9 are written in random order to form a nine digit number. Find the probability that this number is divisible by 4:

The digits 1,2,3,4,5,6,7,8, and 9 are written in random order to form a nine digit number.Let p be the probability that this number is divisible by 36, find 9p .

A 9 digit number using the digits 1,2,3,4,5,6,7,8&9 is written randomly without repetition.The probability that the number will be divisible by 9 is:

The digits 1,2,3,.....9 are written in random order to form a nine digit number.Find the probability that this number is divisible by 11 .

DISHA PUBLICATION-PROBABILITY-PRACTICE EXERCISE (STANDARD LEVEL)

Suppose six coins are tossed simultaneously. Then the probability of g...
Text Solution
|
Let A and B be two events such that P (bar(AuuB))=1/6, P(AnnB)=1/4and ...
Text Solution
|
Seven digits from the numbers 1, 2, 3, 4, 5, 6, 7, 8 and 9 are written...
Text Solution
|
A committee of 5 Students is to be chosen from 6 boys and 4 girls. Fin...
Text Solution
|
There are 10 envelopes and 10 letters to go inside them. Each letter i...
Text Solution
|
A three digit number is written down by random choice of the digits 1 ...
Text Solution
|
4 gentlemen and 4 ladies take seats at random round a table. The proba...
Text Solution
|
Two cards are drawn one by one from a pack of cards. The probability o...
Text Solution
|
Seven persons are to be seated in a row. The probability that two part...
Text Solution
|
The odds against A solving a certain problem are 3 to 2 and the odds i...
Text Solution
|
If two events A and B are such that P(A')=0.3, P(B)=0.4 and P(A nn B')...
Text Solution
|
If A and B are two events such that P(A) ne 0 and P(B) ne 1 then P(...
Text Solution
|
Let 0ltP (A)lt1, 0ltP(B) lt1and P(A uu B)=P(A)+P(B)-P(A)*P(B) then (A...
Text Solution
|
A group of researchers took a fair sample of 1972 children from the ge...
Text Solution
|
A life insurance company insured 25,000 young boys, 14,000 young girls...
Text Solution
|
Eleven books, consisting of five Engineering books, four Mathematics b...
Text Solution
|
12 persons are seated around a round table. What is the probability th...
Text Solution
|
The probability of a bomb hitting a bridge is 1/2 and two direct hits...
Text Solution
|
A number is chosen at random from the numbers 10 to 99. By seeing the ...
Text Solution
|
The probabilities that a student passes in Mathematics, Physics and Ch...
Text Solution
|