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
What is the objective of ISRO's recently announced 'Spadex Mission'?
According to the data released by the Controller General of Accounts (CGA), the Central Government’s fiscal deficit in the first five months of 2023-2...
Where was the panel discussion on the role of the G20 in creating global economic stability held?
How much did the State Bank of India (SBI) raise through its sixth infrastructure bond issue?
Who is the Minister of Agriculture and Farmers Welfare?
How much health coverage per family per annum does the AB PM-JAY provide in Odisha after its convergence with GJAY?
Which Indian city is scheduled to host the 'Bharat Tex 2024' textiles event?Â
Which district recently secured the top position in the landslide index released by ISRO (Indian Space Research Organisation)?
How many times has Real Madrid won the UEFA Champions League as of the 2023/24 season?
Which statement about the transition from the Planning Commission to the NITI Aayog (National Institution for Transforming India) is not correct?
