Question
How many unique arrangements can be made using all the
letters of the word "DELUSION", ensuring that the vowels do not appear together?Solution
If we take all the vowels to be a single letter, then
Total number of letters = 5 [EUIO is taken as a single letter]
Number of ways of arranging with all the vowels together = 5! × 4! = 120 × 24 = 2880
Number of ways of arranging without any condition = 8! = 40320
So, number of ways the word can be arranged so that all the vowels never occur together = 40320 – 2880 = 37440
A graduate of Fergusson college he was one of the recipients of Shyamji Krishnavarma’s fellowship. He was deeply inspired by the ideas of Mazzini and ...
Consider the following statements with reference to the organizations formed during late 19th century:
1. The Poona Sarvajanik Sabha was founded ...
The Indian Home Rule Society was established in which year?
He developed a spiritual practice called Internal Yoga. One of his close spiritual collaborator, Mirra Alfassa, founded an ashram in his name in Pondic...
The "History of British India" is a three-volume work by ________.
In the context of Indian history, what was the Dandi March
Consider the following statements with reference to the Ghadar Party:
1. It was founded by expatriate Indians to overthrow British rule in Ind...
Which one of the following policies was used by the British to keep Napoleon at a distance?Â
In the context of the decline in the revolutionary, consider the following statements:
1. Gandhi’s ideas of Mass Nationalism
2. Mor...
Who led the English forces to victory in the Battle of Bedara against the Dutch in Bengal, securing British dominance in the region?
Relevant for Exams:
