Start learning 50% faster. Sign in now
There are 10 letters in the given word TERRORISTS and we have 10 letters of 6 different kinds viz, (T,T,T), (I,I), (S,S), E, O, R For a group of four letters, we have four cases (i) Three alike and one different (ii) Two alike and two other alike (iii) Two alike and other two different (iv) All four different In case (i), the number of selections = 3C3 × 5C1 = 5 In case (ii), the number of selections = 3C2 = 3 [Since, we can select two pairs out of 3 pairs (T,T) (I,I) (S,S)] In case (iii), the number of selections = 3C1 × 5C2 = 30 [since, we can select one of 3 pairs and then two from the remaining 5 letters say, I,S,E,O,R] In case (iv), the number of selections = 6C4 = 15 [since, we can select 4 different letters from 6 letters T, I,S,E,O,R ] In case (i), the number of arrangements = 5 ×4!/3! = 20 In case (ii), the number of arrangements = 3 ×4!/(2! ×2!) = 18 In case (iii), the number of arrangements = 30 ×4!/2! = 360 In case (iv), the number of arrangements = 15 × 4!= 360 Hence, the required number of arrangements = 20 + 18 + 360 + 360 = 758
Which Offshore Patrol Vessel was recently commissioned at Goa by Indian coast guard?
Which country unveiled the world's largest gold bar weighing 300.12 kg?
Which of the following statements is true about the trade status of Japan and South Korea?
I. South Korea recently added Japan to its list of ...
Recently TATA has tied up with which public sector bank to help MSME (Micro, Small and Medium Enterprises) sector switch to solar solutions and making M...
Who has taken charge as the new Managing Director (MD) of State Bank of India (SBI).
Who was appointed as the Vice Chief of the Naval Staff in January 2024?
The Reserve Bank of India (RBI) has updated Know Your Customer (KYC) norms for politically exposed persons (PEPs) who transact with regulated entities (...
Which organization recently launched the 'Ammunition Cum Torpedo Cum Missile Barge, LSAM 20 (Yard 130)' for the Indian Navy?
Which national symbols are depicted in the design of the chambers of the new Parliament building inaugurated by Prime Minister Narendra Modi?
What is the theme of the 2024 Hornbill Festival in Nagaland, where Japan is a country partner?