JEE-Main - Grade 11 - Mathematics - Permutations and Combinations - Importance and Snapshot of Permutations and Combinations - Study ref# 620

Introduction:
Suppose you have a suitcase with a number of lock. The
number lock has 4 wheels each labelled with 10 digits from 0 to 9. The lock
can be opened if 4 specific digits are arranged in a particular sequence with
no repetitio... read more

JEE-Main - Grade 11 - Mathematics - Permutations and Combinations - Importance and Snapshot of Permutations and Combinations - Study ref# 621

Following sections must be covered to understand the
Permutations and Combinations:
1. Fundamental Principle of Counting
2. Permutations3. Combinations... read more

JEE-Main - Grade 11 - Mathematics - Permutations and Combinations - Target Setup for Permutations and Combinations - Study ref# 622

Student requires to achieve the following milestones to get better grip over Permutations and Combinations. The milestones / targets are as follows:-Starting Point: Days 0Test TypeAppear on TestTarget TestsScorePractice Test000%Chapte... read more

JEE-Main - Grade 11 - Mathematics - Permutations and Combinations - Study ref# 2533

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? Answer: Total number of digits=5(given 1, 2, 3, 4, 5)
Number of ways to fill the unit place=5 ... read more

JEE-Main - Grade 11 - Mathematics - Permutations and Combinations - Study ref# 2534

In how many of the distinct permutations of the letters in
the ‘MISSISSIPPI’ do the four I’s not come together? Answer: The word MISSISSIPPI has 11 letters in which
The number of permutatio... read more

JEE-Main - Grade 11 - Mathematics - Permutations and Combinations - Study ref# 2535

In how many ways can a team of 3 boys and 3 girls be
selected from 5 boys and 4 girls? Answer: 3 boys out of 5 boys can be selected in ways
and 3 girls out of 4 girls can be selected in ways.... read more

JEE-Main - Grade 11 - Mathematics - Permutations and Combinations - Study ref# 2536

A committee of 7 has to be formed from 9 boys and 4 girls.
In how many
Ways can this be done when the committee consists of
(i) exactly 3 girls? (ii) at least 3 girls? (iii) at
most 3 girls? Answer: (i) Out of 7 persons, we want to s... read more

JEE-Main - Grade 11 - Mathematics - Permutations and Combinations - Study ref# 3065

If =, find. Answer: =
We know that =,
Hence from (1) we get 10+15=25=n
... read more

JEE-Main - Grade 11 - Mathematics - Permutations and Combinations - Study ref# 3066

(a) Prove that
(b)
Then prove that p = n+3
(c) Prove that Answer: a) L.H.S.
=
c)We kn... read more

JEE-Main - Grade 11 - Mathematics - Permutations and Combinations - Study ref# 3067

The letters of the word ‘Constantinople’ are to be
arranged in the following manner:
(i)
There is no restriction

read more

JEE-Main - Grade 11 - Mathematics - Permutations and Combinations - Study ref# 3068

How many different words can be made out of the letters of the word can
be made out of the letters of the word ‘Mississippi’ Answer: Letters 11,(4s,4i,2p,1M)
Ans. ... read more

JEE-Main - Grade 11 - Mathematics - Permutations and Combinations - Study ref# 3069

Show that the total number of different combinations of
letters which can be made from the letters of the word ‘MISSISSIPPI’ is 149. Answer: There are 4I, 4S, 2P, 1M.
It is not given how many alphabets are to be taken. Hence
we are at libert... read more

JEE-Main - Grade 11 - Mathematics - Permutations and Combinations - Study ref# 3070

In how many ways can the letters of the word SUCCESS be
arranged so that
(i)
The two C’s are together but not two S’s are together?
(ii) ... read more

JEE-Main - Grade 11 - Mathematics - Permutations and Combinations - Study ref# 3071

A number of 4 different digits is formed by using the
digits1, 2, 3, 4, 5, 6, 7 in all possible ways. Find
(a) How many such
numbers can be formed?
(b) How many of them are
greater than 3400?
(c) &... read more

JEE-Main - Grade 11 - Mathematics - Permutations and Combinations - Study ref# 3072

What is number of 6 digit telephone numbers which have at
least one of their digits repeated? Answer: Number will be formed by using 10 digits from 0 to 9.
At least one digit repeated = total –(number when no digit is repeated )
Total =Each
... read more