MEDIUM

JEE Main

IMPORTANT

Earn 100

A natural number has prime factorization given by $n = 2^{x} 3^{y} 5^{z}$ , where $y$ and $z$ are such that $y + z = 5$ and $y^{- 1} + z^{- 1} = \frac{5}{6}, y > z$ . Then the number of odd divisors of $n$ , including $1$ , is:

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Important Questions on Permutation and Combination

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Permutation and Combination>JEE Main - 26 Feb 2021 Shift 2>Q 33

The total number of

4

-digit numbers whose greatest common divisor with

18

3

is _____.

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Permutation and Combination>JEE Main - 2 September 2020 Shift 1>Q 34

If the letters of the word

^{'} {MOTHER}^{'}

be permuted and all the words so formed (with or without meaning) be listed as in a dictionary, then the position of the word

^{'} {MOTHER}^{'}

is.....

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Permutation and Combination>JEE Main - 2 September 2020 Shift 2>Q 35

Let

n > 2

be an integer. Suppose that there are

n

Metro stations in a city located around a circular path. Each pair of the nearest stations is connected by a straight track only. Further, each pair of the nearest station is connected by blue line, whereas all remaining pairs of stations are connected by red line. If number of red lines is

99

times the number of blue lines, then the value of

n

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Permutation and Combination>JEE Main - 3 September 2020 Shift 1>Q 36

The value of (

2 \cdot^{1} P_{0} - 3 \cdot^{2} P_{1} + 4 \cdot^{3} P_{2} - . . . . . . . .

up to

51^{th}

term)

+

(

1! - 2! + 3! - . . . . . . .

up to

51^{th}

term) is equal to

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Permutation and Combination>JEE Main - 3 September 2020 Shift 2>Q 37

The total number of

3 -

digit numbers whose sum of digits is

10

, is ..........

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Permutation and Combination>JEE Main - 4 September 2020 Shift 1>Q 38

The value of

\sum_{r = 0}^{20} {}^{50 - r}C_{6}

is equal to:

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Permutation and Combination>JEE Main - 4 September 2020 Shift 2>Q 39

A test consists of

6

multiple choice questions, each having

4

alternative answers of which only one is correct. The number of ways, in which a candidate answers all six questions such that exactly four of the answers are correct, is ___________

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Permutation and Combination>JEE Main - 5 September 2020 Shift 1>Q 40

The number of words, with or without meaning, that can be formed by taking 4 letters at a time from the letters of the word 'SYLLABUS' such that two letters are distinct and two letters are alike, is

A natural number has prime factorization given by n=2x3y5z, where y and z are such that y+z=5 and y-1+z-1=56,y>z. Then the number of odd divisors of n, including 1, is:

Important Questions on Permutation and Combination

Learn and Prepare for any exam you want !

A natural number has prime factorization given by $n = 2^{x} 3^{y} 5^{z}$ , where $y$ and $z$ are such that $y + z = 5$ and $y^{- 1} + z^{- 1} = \frac{5}{6}, y > z$ . Then the number of odd divisors of $n$ , including $1$ , is: