Permutation & Combination | NCERT solutions Class 11 Maths | Ex 7.1, Ex 7.3, Ex 7.4, Miscellaneous

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"Ex 7.1-Q.1 - How many 3-digit numbers can be formed from the digits 1, 2, 3, 4 and 5 assuming that (i) repetition of the digits is allowed? (ii) repetition of the digits is not allowed?
Ex 7.1-Q.4 - How many 5–digit telephone numbers can be constructed using the digits 0 to 9 if each number starts with 67 and no digit appears more than once?
Ex 7.2-Q.4 - If 1/6! + 1/7! = x/8!, find x.
Ex 7.3-Q.2 - How many 4-digit numbers are there with no digit repeated?
Ex 7.3-Q.5 - From a committee of 8 persons, in how many ways can we choose a chairman and a vice chairman assuming one person cannot hold more than one position?
Ex 7.3-Q.9 How many words, with or without meaning can be made from the letters of the word MONDAY, assuming that no letter is repeated, if
(i) 4 letters are used at a time,
(ii) all letters are used at a time,
(iii) all letters are used but first letter is a vowel?
Ex 7.4-Q.5 - Find the number of ways of selecting 9 balls from 6 red balls, 5 white balls and 5 blue balls if each selection consists of 3 balls of each colour.
Ex 7.4-Q.9 - In how many ways can a student choose a programme of 5 courses if 9 courses are available and 2 specific courses are compulsory for every student?
Ex Miscellaneous-Q.1 - How many words, with or without meaning, each of 2 vowels and 3 consonants can be formed from the letters of the word DAUGHTER?
Ex Miscellaneous-Q.4 - If the different permutations of all the letter of the word EXAMINATION are listed as in a dictionary, how many words are there in this list before the first word starting with E? Ex Miscellaneous-Q.6 - The English alphabet has 5 vowels and 21 consonants. How many words with two different vowels and 2 different consonants can be formed from the alphabet? Ex Miscellaneous-Q.7 - In an examination, a question paper consists of 12 questions divided into two parts i.e., Part I and Part II, containing 5 and 7 questions, respectively. A student is required to attempt 8 questions in all, selecting at least 3 from each part. In how many ways can a student select the questions?"

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