MEDIUM
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IMPORTANT
Earn 100

In how many ways can the letters of the word FRACTION be arranged so that no two vowels are together?

Important Questions on Permutations and Combinations

EASY
JEE Main/Advance
IMPORTANT
Gamma Question Bank for Engineering Mathematics>Chapter 7 - Permutations and Combinations>Assignment>Q 22
Determine the number of 6 card combinations out of a deck of 52 cards if two of the six cards have to be aces.
EASY
JEE Main/Advance
IMPORTANT
Gamma Question Bank for Engineering Mathematics>Chapter 7 - Permutations and Combinations>Assignment>Q 23
Out of six consonants and four vowels, how many words each containing 3 consonants and 2 vowels can be formed? 
HARD
JEE Main/Advance
IMPORTANT
Gamma Question Bank for Engineering Mathematics>Chapter 7 - Permutations and Combinations>Assignment>Q 24
The letters of the word RACHI are arranged in all possible ways as listed in dictionary. What is the rank of the word RACHI?
EASY
JEE Main/Advance
IMPORTANT
Gamma Question Bank for Engineering Mathematics>Chapter 7 - Permutations and Combinations>Assignment>Q 25
Out of 18 points in a plane, no three are in the same line except five points which are collinear. Find the number of lines that can be formed by joining the points.
EASY
JEE Main/Advance
IMPORTANT
Gamma Question Bank for Engineering Mathematics>Chapter 7 - Permutations and Combinations>Assignment>Q 26
How many committees of five persons and a chairperson can be selected from 15 persons?
EASY
JEE Main/Advance
IMPORTANT
Gamma Question Bank for Engineering Mathematics>Chapter 7 - Permutations and Combinations>Assignment>Q 27

A bag contains six white marbles and five red marbles. Find the number of ways in which four marbles can be drawn from the bag, if

(i) They can be of any colour.

(ii) All must be of the same colour.

EASY
JEE Main/Advance
IMPORTANT
Gamma Question Bank for Engineering Mathematics>Chapter 7 - Permutations and Combinations>Assignment>Q 28

A groups consists of 4 girls and 6 boys. In how many ways can a team of 4 members be selected, if the team has

(i) No girls

(ii) At least two boys and one girl.

EASY
JEE Main/Advance
IMPORTANT
Gamma Question Bank for Engineering Mathematics>Chapter 7 - Permutations and Combinations>Assignment>Q 29

(i) How many triangles can be formed by joining the vertices of a nonagon?

(ii) How many diagonals are there in a polygon with 8 sides?