Find the number of ways of selecting 4 English, 3 Telugu and 2 Hindi books out of 7 English, 6 Telugu and 5 Hindi books.

The number of ways of selecting 8 books from a library which has 9 books each of Mathematics, Physics, Chemistry and English is:

The number of ways in which 4 books on Mathematics and 3 books on English can be placed in a shelf, so that the books on the same subject always remain together is

In a group of 50 students, the number of students studying French, English, Sanskrit were found to be as follows French = 17, English = 13, Sanskrit = 15 French and English = 09, English and Sanskrit = 4, French and Sanskrit = 5, English , French and Sanskrit = 3. Find the number of students who study (i) only French, (ii) only English. (iii) only Sanskrit. , (iv) English and Sanskrit but not French. (v) French and Sanskrit but not English. (vi) French and English but not Sanskrit. (vii) atleast one of the three languages. (viii) none of the three languages.

If 4 books cost रु 270.6, find the cost of one book.

In a certain an algebraical exercise book there and 4 examples on arithmetical progression, 5 examples on permutation and combination, and 6 examples on binomial theorem. Find the number of ways a teacher can select or his pupils at least one but not more than 2 examples from each of these sets.

If the number of ways of selecting r balls with replcement out of n balls numbered 1,2,3……,100 such that the largest number selected is 10 is 271, then r= (A) 4 (B) 5 (C) 3 (D) none of these

In a certain examination , the number of candidates who appeared in the examination is 1000 out of which 650 appeared in English and 200 appeared in both English and Hindi . Find The number of candidates who offered paper in Hindi (ii) The number of candidates who offered paper in English only.

In a survey of population of 450 people, it is found that 205 can speak English, 210 can speak Hindi and 120 people can speak Tamil. If 100 people can speak both Hindi and English, 80 people can speak both English and Tamil, 35 people can speak Hindi and Tamil and 20 people can speak all the three languages, find the number of people who can speak English but not a Hindi or Tamil. Find also the number of people who can speak neither English nor Hindi nor Tamil.

Find the number of ways in which 22 different books can be given to 5 students, so that two students get 5 books each and all the remaining students get 4 books each.

Find the number of ways in which 22 different books can be given to 5 students, so that two students get 5 books each and all the remaining students get 4 books each.