Find $r$ if
${}^5{P}_r=2{ }^6{P}_{r-1}$

Important Questions on Permutations and Combinations

MEDIUM

11th Gujarat Board

IMPORTANT

MATHEMATICS Textbook for Class XI>Chapter 7 - Permutations and Combinations>EXERCISE 7.3>Q 7

Find $r$ if
 ${}^5{P}_r={}^6{P}_{r-1}$

MEDIUM

11th Gujarat Board

IMPORTANT

MATHEMATICS Textbook for Class XI>Chapter 7 - Permutations and Combinations>EXERCISE 7.3>Q 8

How many words, with or without meaning, can be formed using all the letters of the word EQUATION, using each letter exactly once?

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11th Gujarat Board

IMPORTANT

MATHEMATICS Textbook for Class XI>Chapter 7 - Permutations and Combinations>EXERCISE 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
$4$ letters are used at a time,

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11th Gujarat Board

IMPORTANT

MATHEMATICS Textbook for Class XI>Chapter 7 - Permutations and Combinations>EXERCISE 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 all letters are used at a time.

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11th Gujarat Board

IMPORTANT

MATHEMATICS Textbook for Class XI>Chapter 7 - Permutations and Combinations>EXERCISE 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 all letters are used but first letter is a vowel?

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11th Gujarat Board

IMPORTANT

MATHEMATICS Textbook for Class XI>Chapter 7 - Permutations and Combinations>EXERCISE 7.3>Q 10

In how many of the distinct permutations of the letters in MISSISSIPPI do the four I’s not come together?

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11th Gujarat Board

IMPORTANT

MATHEMATICS Textbook for Class XI>Chapter 7 - Permutations and Combinations>EXERCISE 7.3>Q 11

In how many ways can the letters of the word PERMUTATIONS be arranged if the
 words start with P and end with S,

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11th Gujarat Board

IMPORTANT

MATHEMATICS Textbook for Class XI>Chapter 7 - Permutations and Combinations>EXERCISE 7.3>Q 11

In how many ways can the letters of the word PERMUTATIONS be arranged if the
 vowels are all together,