NCERT class 11 maths chapter 7 Permutations and Combinations
Question 1:How many 3-digit numbers can be formed by using the digits 1 to 9 if no digit is repeated?
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Question 2:How many 4-digit numbers are there with no digit repeated?
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Question 3:How many 3-digit even numbers can be made using the digits 1, 2, 3, 4, 6, 7, if no digit is repeated?
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Question 4:Find the number of 4-digit numbers that can be formed using the digits 1, 2, 3, 4, 5 if no digit is repeated. How many of these will be even?
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Question 5:From a committee of 8 persons, in how many ways can we choose a chairman and a vice chairman assuming one person can not hold more than one position?
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Question 6:Find n if n – 1P3 : nP4 = 1 : 9.
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Question 7:Find r if (i) 5 6 Pr = 2 Pr−1 (ii) 5 6 1 P P r = r− .
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Question 8:How many words, with or without meaning, can be formed using all the letters of the word EQUATION, using each letter exactly once?
EXERCISE 7.31. How many 3-digit numbers can be for
Question 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?
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Question 10:In how many of the distinct permutations of the letters in MISSISSIPPI do the four I’s not come together?
Question 11:In how many ways can the letters of the word PERMUTATIONS be arranged if the (i) words start with P and end with S, (ii) vowels are all together, (iii) there are always 4 letters between P and S?
