Question
A committee of 5 members is to be selected from 4 girls and
6 boys. Find the number of ways to form team such that the team consists of at most 2 girls.Solution
Required number of ways = 4C2 × 6C3 + 4C1 × 6C4 + 6C5
= 6 × 20 + 4 × 15 + 6
= 120 + 60 + 6 = 186
Sum of squares of three consecutive numbers is 1454. Find the sum of first and third number.
A two-digit number has a sum of its digits equal to 11. Additionally, if 54 is subtracted from this number, the resulting number has its digits reversed...
Subtracting 30 from 14 times a number gives a result which is 50 more than 9 times the number. What is the number?
When a number is divided by 17, the remainder remains 6. Find the remainder obtained when the square of the same number is divided by 17.
There are balls of three colours: blue, green, and white. The number of green balls is 8 more than the average number of balls of each colour. The numbe...
Indicate the numbers that are divisible by both 2 and 3.
Find the range of the given data:
25, 43, 67, 91, 38, 57, 12, 74, 29
Find the sum of the first 25 natural numbers.
- If '48x2y' is a five-digit number which is divisible by 72, then find the value of (x - y).
Find the smallest 4-digit number which is exactly divisible by 6, 9 and 15.