MPSC Rajyaseva 2015 CSAT — Question 57

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Fundamental Principle of Counting Permutations

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 ?

a)529

b)506&check; Correct

c)463

d)484

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.

Related questions

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 ?

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