Question
A three-letter word is to be formed using the English
alphabet where the first letter is a vowel, the second letter is a vowel different from the first, and the third letter is a consonant. How many such words can be formed?Solution
ATQ, Number of ways to choose the first letter (vowel) 5C1 =5 Number of ways to choose the second letter (Different vowel) = 4C1 = 4 Number of ways to choose the third letter (consonant) = 21C1 = 21 Hence total number of ways = 5 × 4 × 21 = 420 ways
The difference between the compound interest, compounded annually and simple interest on Rs. ‘P’ at the rate of 20% p.a. for 2 years, is Rs....
An amount placed on simple interest at 7.5% per annum for 3 years becomes Rs. 8,025. What was the principal?
Rs. (n + 150) invested on simple interest amounts to Rs. 1,950 and Rs. 2,250 in 3 years and 5 years, respectively. Find the value of 'n'.
Mr. Karan invested his funds in 3 different projects 'P', 'Q', and 'R' in the ratio 7:6:5, respectively. The rates of interest offered by projects 'P', ...
A sum becomes 5 times in 20 years under simple interest at the rate of r% per annum. Find the rate of interest.
Aman invested Rs. ‘x’ at 9% p.a. and Arjun invested Rs. (x + 400) at 7% p.a. If after 4 years the total simple interest is Rs. 1800, find the value ...
Simple interest and compound interest (compounded annually) earned on a sum at the end of 2 years at a certain rate of interest p.a. are Rs. 2560 and Rs...
- Rahul borrowed Rs. 25,000 from City bank at a simple interest of 10% p.a. If he has to repay Rs. 28,750 after ‘p’ months to clear all his debts, find t...
- Aman saves Rs. 5,800 in a bank at 9% simple interest for 4 years. If he gets back Rs. '2q' in total, calculate the product of digits of 'q'.
If the difference between the simple interest and compound interest, compounded annually, received on a principal amount of Rs. 25000 at an interest rat...
Relevant for Exams:
