If the probability of a six digit number `N` whose six digit sare 1,2,3,4,5,6 written as random order is divisible by 6 is `p ,` then the value of `1/

Monjur Alahi

If the probability of a six digit number `N` whose six digit sare 1,2,3,4,5,6 written as random order is divisible by 6 is `p ,` then the value of `1//p` is__________.


0 like 0 dislike
1 views
Share with your friends

1 Answers

Salim Ahmed Kawsar

Call

Correct Answer - B
Total number of cases = n(S) = 6!
Now sum the given digits is 1 + 2 + 3 + 4 + 5 + 6 = 21, which is divisible by 3.
Now we have to form the number which is divisible by 6, then we have to ensure that the digit in unit place is even.
implies Favorable cases = n(A) = `3 . 5!`
Hence, `P(A) = (3.5!)/(6!) = (1)/(2)`.

0 like 0 dislike
1 views
Talk Doctor Online in Bissoy App
From the 50 cards numbered from 1 to 50, a card is drawn at random, then the probability that the number on the card is divisible by 8 is

Correct option is: D) \(\frac 3{25}\) Total number of outcomes = 50. Number which is divisible by 8 from 1 to 50 are (8, 16, 24, 32, 40, 48) \(\therefore\) Favourable outcomes = 6. \(\therefore\) Required probability = \(\frac...

2 Answers 1 views
From the 50 cards numbered from 1 to 50, a card is drawn at random, then the probability that the number on the card is divisible by 8 is 2 Answers 1 views
If a two digit number is choosen at random, what is the probability that the number chossen is a multiple of 3? A) 2/99 B) 1/3

Correct option is: B) \(\frac{1}{3}\) Total No of two-digit numbers = 99 - 10 + 1 = 90. (\(\therefore\) Smallest two digit number is 10 & highest two - digit number is 99) The smallest two-digit...

2 Answers 1 views
If a two digit number is choosen at random, what is the probability that the number chossen is a multiple of 3? A) 2/99 B) 1/3 2 Answers 1 views
There are 50 cards numbered from 1 to 50. A card is drawn at random. Then the probability that the number on the card is divisible by 8 is

Correct option is: C)\(\frac 3{25}\) Total No which are divisible by 8 from 1 to 50 is 6. \(\therefore\) Probability that drawn card is divisible by 8 = \(\frac 6{50}\) = \(\frac 3{25}\)

2 Answers 1 views
There are 50 cards numbered from 1 to 50. A card is drawn at random. Then the probability that the number on the card is divisible by 8 is 2 Answers 1 views
A three digit number abc is 459 more than the sum of its digits. What is the sum of the 2 digit number ab and the 1 digit number a ? 

Correct option is A) 51

2 Answers 1 views
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 form

If the sum of the digits in a number is divisible by 9, then the number itself is divisible by 9. The least and the greatest sum of five digits...

2 Answers 1 views
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
Number of six-digit numbers such that any digit that appears in the number appears at least twice, where the digits of each number are from the set `{

Correct Answer - C `(c )` Case I : All six digits alike i.e. `111111`, `222222`……..etc. `=5` ways Case II : `2` alike `+2` other alike. Select any three in `"^(5)C_(3)`...

2 Answers 4 views
X