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A class contains 4 boys and x girls. In a test only 5 students including at least 3 boys can appear. If different group of students appear for the exam every time, if the number of times test conducted is 435 then find the total number of students in the class

(Q). A class contains 4 boys and x girls. In a test only 5 students including at least 3 boys can appear. If different group of students appear for the exam every time, if the number of times test conducted is 435 then find the total number of students in the class....

In a certain test there are n questions. In this test 2ᵏ students gave wrong answers to at least n-k questions. k = 0, 1, 2, ……n. If the number of wrong answers is 8191then what is the value of n

(Q). In a certain test there are n questions. In this test 2ᵏ students gave wrong answers to at least n-k questions. k = 0, 1, 2, ……n. If the number of wrong answers is 8191 then what is the value of n? Solution:- Number of students who gave wrong answers...

A committee of 12 is to be formed from 9 women and 8 men.
(i). In how many ways this can be done if at least 5 women have to be included in a committee?
(ii). In how many of these committees women are in majority?
(iii). In how many of these committees the men are in majority?

(Q). A committee of 12 is to be formed from 9 women and 8 men.(i). In how many ways this can be done if at least 5 women have to be included in a committee?(ii). In how many of these committees women are in majority?(iii). In how many of these committees the men are...

In an election the number of contestant is one more than the number of seats. A voter can give minimum 1 and maximum equal to the number of seats. Then find the number of contestant if a particular voter can vote in 510 different ways

(Q). In an election the number of contestant is one more than the number of seats. A voter can give minimum 1 and maximum equal to the number of seats. Then find the number of contestant if a particular voter can vote in 510 different ways.Solution:-Let the number of...