Question
In how many different ways can the letters of the word
‘FLOWER’ be arranged in such a way that the vowels occupy only the odd positions?Solution
There are 6 letters in the given word out of which there are 2 vowels and 4 consonants. Now, 2 vowels can be placed at any of the three places out of 3 odd positions. Number of ways of arranging the vowels = 3P2 = 3 Also, the 4 consonants can be arranged at the remaining 4 positions. Number of ways of arranging the consonants = 4P4 = 4! Total number of ways = (3 × 4!) = 72
Aditi, Bishnu, and Chetna initiated a business with the capital invested by Aditi and Bishnu in a ratio of 9:8. Chetna invested Rs. 800 less than Bishnu...
"P" and "Q" have income to expenditure ratios of 5:2 and 5:3, respectively. If their combined incomes amount to Rs. 5,500 and "P" manages to save Rs. 1,...
A and B invested Rs.3000 and Rs.5000 in a business respectively and after 5 months B withdrawn 50% of his initial investment and again after 5 months he...
‘A’ and ‘B’ entered into a partnership by investing Rs. 9900 and Rs. 5500, respectively. If ‘A’ invested his sum for only 6 months and the t...
Palash invest twice the sum invested by Vicky and withdraws half of the sum after 5 months and again withdraws half of the remaining sum after 5 months....
A and B together started a business by investing their capital in the ratio of 10:9, respectively and total amount invested by them together is Rs. 1140...
Arjun and Amit started a partnership firm. Arjun invested Rs. 15,000, while Amit withdrew his investment after 6 months. If the profit was shared in the...
‘A’ and ‘B’ started a business by investing Rs. 32000 and Rs. 30000, respectively. 12 months later, ‘C’ joined the business by investing Rs....
P and Q started a venture by investing Rs. 7000 and Rs. 5000 respectively. After 6 months, R joined with an investment equal to the average of P and Q. ...
Two partners A and B invested Rs 70,000 and Rs 50,000 respectively in a business. Both the partners distribute 75% of the profit equally and distribute ...
Relevant for Exams:
