CBSE Class 11 Permutation and Combinations Worksheet B

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1. A coin is tossed 3 times and the outcomes are recorded. How many possible out comes are there?

2. If    nC8 =    nC2  find nC2 .

3. In how many ways of selecting 9 balls from 6 red balls, 5 white balls and 5 blue balls if each selection consists of 3 balls of each colours.

4. Find r, if  5⁴p_r  =  6⁵p_r-1

5. Find the number of arrangements of the letters of the word INDEPENDENCE.

In how many of these arrangements

(i) do the words start with P

(ii) do all the vowels always occur together

6. Find  n if ^{n- 1}P₃ : ⁿP₄ =1:9

7. In how many ways can one select a cricket team of eleven from 17 players in which only 5 players can bowl if each cricket team of 11 must include exactly 4 bowlers?

8. How many numbers greater than 1000000 can be formed by using the digits 1,2,0,2,4,2,4?

9. In how many ways can the letters of the word ASSA SS IN ATION be arranged so that all the S’s are together?

10. What is the number of ways of choosing 4 cards from a pack of 52 playing cards? In how many of there 

(i) Four cards one of the same suit

(ii) Four cards belong to four different suits

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