Permutations
Tested in 11 real MPSC questions across 4 years (2015–2023). See it in context on the interactive Concept Graph →
Years it was asked
What you need to know first
Real questions that test this
दास कुटुंब सदस्य : नवरा, बायको, दोन मुले : वये 7 व 13, आणि बायकोची साटीतील आई, या आठवड्याच्या सुटीत विज्ञान उद्यानातील कार्यक्रमाला जाणार आहेत. पालक मोठ्या मुलासहीत दोन्ही दिवस उपस्थित राहणार आहेत परंतु दासबाईची आई आणि धाकटे मूल यातला एक दिवस नातेवाईकांबरोबर घालवणार आहेत. खालील तिकीटांचे दर दिले आहेत. सर्वात स्वस्त तिकिटे खरेदी केल्यास दास कुटुंबाने खर्च केलेली रक्कम निवडा. Das family members : husband, wife, two children : ages 7and 13, and mother of wife who is in her sixties, are going to the science park programme this weekend. The parents will attend both days with the elder child but Mrs. Das's mother and the younger child will spend one day visiting relatives. Ticket prices are listed in below table. Select the amount spent by the Das family if they buy the cheapest tickets.
To find the minimum cost, we evaluate the ticket rates for different combinations of days and members. By optimizing the visits for the mother and younger child on alternate days, the cheapest total expenditure comes to 69.
6 पुरुष व 5 महिला यांच्या गटातून 5 सदस्यीय समिती स्थापन करावयाची आहे. यातून 3 पुरुष व 2 महिला असतील अशी समिती किती प्रकारे तयार करता येईल ? / A five-member committee is to be formed from the group comprising of 6 men and 5 women. In how many different ways can the committee be formed with 3 men and 2 women ?
To form a committee of 3 men and 2 women from 6 men and 5 women, we use combinations. Ways to select 3 men out of 6 is 6C3 = 20. Ways to select 2 women out of 5 is 5C2 = 10. Total ways = 6C3 * 5C2 = 20 * 10 = 200.
2, 3, 5, 6, 7 आणि 9 या अंकांपासून 5 ने भाग जाणारी आणि कोणतीही अंक पुन्हा न येता, अशा तीन अंकी किती संख्या तयार होऊ शकतील ? How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9 which are divisible by 5 and none of the digits is repeated ?
A 3-digit number is divisible by 5 if its unit's digit is 5. Given digits: 2, 3, 5, 6, 7, 9. Unit place can only be filled by '5' (1 way). The remaining 2 places can be filled from the remaining 5 digits (2, 3, 6, 7, 9) in 5P2 = 5 * 4 = 20 ways. Total numbers = 1 * 20 = 20.
दिनूचे घर ते शाळा या दरम्यान 23 बस उपलब्ध आहेत. जर घरापासून शाळेपर्यंत वेगवेगळ्या बसने जाऊन परतायचे असेल तर दिनूला किती पद्धतींनी ये-जा करणे शक्य आहे ? There are 23 buses available between Dinu’s house and his school. How many ways are possible for Dinu to go from his house to school and return using different buses ?
Dinu has 23 buses to go from house to school. To return using a *different* bus, he has 22 options available. Total ways = 23 * 22 = 506.