CBSE Class 11 Permutation and Combinations Worksheet A

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1. Evaluate 4! - 3! 

2. If  ⁿca = ⁿc_b find the n

3. The value of 0! 

4. Given 5 flags of different colours here many different signals can be generated if each signal requires the use of 2 flags. One below the other

5. How many 4 letter code can be formed using the first 10 letter of the English alphabet, if no letter can be repeated?

6. How many words, with or without meaning can be made from the letters of the word MONDAY. Assuming that no. letter is repeated, it

(i) 4 letters are used at a time

(ii) All letters are used but first letter is a vowel?

7. Prove that nCr  +  nCr-1   =  n+1Cr 

8. A bag contains 5 black and 6 red balls determine the number of ways in which 2 black and 3 red balls can be selected.

9. In how many ways can 5 girls and 3 boys be seated in a row so that no two boys are together?

10. How many words, with or without meaning, each of 3 vowels and 2 consonants can be formed from the letters of the word INVOLUTE

11. A group consists of 4 girls and 7 boys. In how many ways can a team of 5 members be selected if the team has 

(i) no girl? (ii) at least one boy and one girl? (iii) at least 3 girls?

12. Find the number of words with or without meaning which can be made using all the letters of the word. AGAIN. If these words are writer as in a dictionary, what will be the 50th word?

Click on link below to download CBSE Class 11 Permutation and Combinations Worksheet A.