A five digits number is chosen at random. What is the probability that all the digits are distinct, the digits at odd places are odd and the digits are at even places are even?
Odd digits – 1, 3, 5, 7, 9 Even digits – 0, 2, 4, 6, 8 Since, odd digits at odd places and even digits at even place. Places of odd digits – 3 Places of even digits – 2 ∴ Favourable ways = ⁵P₃ × ⁵P₂ = 5 × 4 × 3 × 5 × 4 = 1200 ∴ Total five digits numbers that can be formed = 9 × 10 × 10 × 10 × 10 = 90,000 Required probability = 1200/90000 = 1/75
The cube of the difference between two given natural numbers is 1728, while the product of these two given numbers is 108. Find the sum of these two giv...
There are three numbers 'u', 'v' and 'w' (u < v < w) such that 'v' is equal to the average of 'u' and 'w'. 80% of 'w' is equal to 'u' and the difference...
The ages of Geeta, Meera and Tina are in the ratio of 6:4:7 respectively. If the sum of their ages is 34 years, what is Meera’s age?
How many numbers lie between 2000 and 3000 divisible by 5 can be made with the digits 2, 3, 4, 5, 6, 7 and 8 without repeating any digit?
Find the digit which will come at the unit place after solving the following expression (769 × 394 × 942)
What is the average of all the prime numbers which are less than 35?
325 mangoes are distributed among some boys and girls who are 60 in numbers. Each boys gets five mangoes and each girls gets six. The number of boys is :
99² +? ² = 18826
If the number 985212m8 is completely divisible by 11, then the smallest whole number in place of ‘m’ would be:
A lending library has a fixed charge for the first 7 days and an additional charge for each day thereafter. Sahil paid Rs . 215 for a book kept for 15 ...