Question
In how many different ways can the letters of the word
āINCORPORATIONā be arranged so that the vowels comes together?Solution
In the word āINCORPORATIONā, we treat the vowels IOOAIO as one letter Thus, we have, NCRPRTN (IOOAIO) This has 8(7+1) letters of which R and N occurs 2 times and the rest are different Number of ways arranging these letters = 8!/(2! Ć2!) = 10080 Now, 6 vowels in which O occurs 3 times and I occurs 2 times, can be arranged in 6!/(3! Ć2!) = 60 ā“ Required number of ways = 10080 Ć 60 = 604800
The incomes of A and B are in the ratio 4 : 5 and their expenditures are in the ratio 7 : 9. If each saves Rs 4,000 per month, find Bās monthly income...
Determine the combined savings of 'Arvind' and 'Bishma' if 'Bishma' has savings equal to one-third of 'Arvind's expenditure, while 'Arvind' earns a sala...
The monthly salary of Ankita is Rs. 21,300, and Mamta's monthly salary is Rs. 12,000. The ratio of their monthly expenditures is 9:5, and the ratio of t...
What is the difference in the incomes of Pooja and Payal if their savings are Rs. 1000 and Rs. 500, respectively, and their income-to-expenditure ratios...
The ratio of Aās income to Bās income is 3 : 5. If Aās income is ā¹12,000, what is Bās income?
The income of Amit is Rs. 12,000 greater than Bhuvan's income. Amit spends 75% of his income, whereas Bhuvan's expenditure is 80% of Amit's expenditure....
The ratio of Aās income to Bās income is 3:4, and their expenditures are in the ratio 5:7. If each saves ā¹5000, find A's incomes.
If 50% of income of āTarunā is equal to 40% of income of āPawanā, then find the income of āTarunā is how much percentage of income of āPaw...
Shreya uses up 70% of her income for expenses and is left with Rs. 4,500. Calculate her total monthly income.
Ā A factory employs three types of workers: skilled, semi-skilled, and unskilled. Skilled workers earn an average monthly salary of 40,000, semi-skilled...
Relevant for Exams:
