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 ratio of Raj’s to Simran’s salary is 3: 5. If Simran’s salary is increased by 25%, her total salary becomes Rs. 54,000. What is th...
Find the median of 2, 8, 6, 3, 7, 12, 5, 12 and 13.
Which of the following is the greatest number that divides 72 and 119 and leaves 3 and 4 as respective remainders?
Two students appeared in an exam and one secured 30 marks more than the other. If marks of the student who got more marks is 65% of the sum of the marks...
If (64)2 ā (36)2 = 20Z, the value of z isĀ
āNā is the largest three-digit number that leaves 5 as a remainder when divided by 7, 15 and 6. Find the sum of digits of āNā.
The mean of three distinct numbers is 30. If the third number is to the combined total of the first two numbers in the ratio 16:29, what is the sum of t...
There are 5680 children in a school. For Republic day Parade they have to stand in such a manner that the number of rows is equal to number of columns. ...
Nisha and Neelam start a business with initial investments of ā¹p and ā¹1.5p, respectively. After six months, Nisha increases her investment by 25% of...
Total of Series of n terms 1 + 1 + 3 + 1 + 3 + 5 + 1 + 3 + 5 + 7 ……………………