现已上线！2025 年 Telegram 研究 — 年度关键洞察 
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Please ensure you arrive at the examination premises at least 30 minutes before the start time. A friend of mine missed the IFoS mains paper last time because he thought the entry deadline was 10 minutes before the start. UPSC is extremely strict about this; they will not allow entry even if you are just 30 seconds late.
Therefore, make sure to be inside the examination hall well before the 30-minute mark.
5_6275827911089983860.pdf
Please note that entry into the Examination Venue shall be closed 30 minutes before the schedule commencement of the
Examination i.e. 09:00 AM for the Forenoon Session and 02:00 PM for the Afternoon Session. No candidate shall be allowed the entry into the Examination Venue after closure of the entry.
Candidates are advised to enter the Examination Venue well in time for frisking.
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In a football championship, 153 matches were played. Every two teams played one match with each other. The number of teams participating in the championship is??
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Find the total number of ways in which six '+' and four '–' signs can be arranged in a line such that no two '–' signs occur together???
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A box contains 2 white balls, 3 black balls and 4
red balls. The number of ways three balls can be drawn from the box if at least one black is to be included in the draw is??
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In how many ways can 3 letters be posted in 5 letterboxes???
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There are 12 points in a plane of which 5 points are collinear, then the number of lines obtained by joining these points in pairs is ??
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In a steamer there are stalls for 12 animals, and there are horses, cows and calves (not less than 12 each) ready to be shipped. They can be loaded in ship in how many ways??
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Find the number of integers greater than 7000 that can be formed with the digits 3,5,7,8 and 9 where no digits are repeated???
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A five digit number divisible by 3 is to be formed using the numbers 0,1,2,3,4 and 5 without repetitions. How many such numbers can be formed??
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Everybody in a room shakes hands with everybody else. The total number of handshakes is 66. The total number of persons in the room is ???
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The number of ways in which a team of eleven players can be selected from 22 players always including 2 of them and excluding 4 of them is ??
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The number of ways in which we can choose a committee from four men and six women so that the committee includes at least two men and exactly twice as many women as men is????
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The total number of 9 digit numbers which have all different digits is??
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The number of words which can be formed out of the letters of the word ARTICLE, so that vowels occupy the even place is??
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The number of six digit numbers, all digits of which are odd is??
Today's topic is Permutations and Combinations.
I request you to solve these questions and post your solution in the comment section. All of questions are from NCERT and similar types of questions are being asked by UPSC.
Will post question on next topic if you guys will engage.
Thank you 😊
Solve below questions
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Silent Valley NP-> largest population of lion tailed Macques.
Eravikulam NP-> largest population of Nilgari Tahr.
Both park are in Kerala.
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