CBSE Class 11-Mathematics: Questions: Permutation Exercise 2 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Question 1:

Evaluate

(i)

(ii)

Question 2:

Question 3:

Compute

Question 4:

Calculate if

Question 5:

Evaluate,

when

(i)

(ii)

Solution 1

We know that

So, solving the below questions based on that

(i)

(ii) First calculate the factorials

Then

Solution 2

We know that factorials are given by

So, solving the below questions based on that

So, it is clear that

Solution 3

Solution 4:

Cancelling On both the sides

Solving this

Solution 5:

When

(i)

(ii)