CBSE Class 11 Permutation and Combinations Worksheet E

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1. Evaluate ¹⁰C₇+ ¹⁰C₆

2. How many 3 digit numbers can be formed by using the digits 1 to 9 if no. digit is repeated

3. Convert into factorial 2.4.6.8.10.12 

4. How many words with or without meaning can be formed using all the letters of the word ‘EQUATION’ at a time so that vowels and consonants occur together

5. From a class of 25 students 10 are to be chosen for an excursion Party. There are 3 students who decide that either all of them will join or none of them will join. In how many ways can excursion party be chosen?

6. Find the number of 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 colour.

7. Find the number of 3 digit even number that can be made using the digits 1, 2, 3, 4, 5, 6, 7, if no digit is repeated?

8. If  ⁿ P_r  =ⁿ P_r+1 and ⁿC_r=ⁿC_r-1  find the values of n and r

9. Prove that the product r of consecutive positive integer is divisible by r 

10. A committee of 5 is to be formed out of 6 gents and 4 Ladies. In how many ways this can be done, when

(i) at least two ladies are included?

(ii) at most two ladies are included?

11. In how many ways can the letters of the word PERMUTATIONS be arranged if the

(i) words start with P and with S

(ii) vowels are all together 

(iii) There are always 4 letters between P and S?

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