3. Find the value of ((a^2+sqrt{a^2-1})^4+(a^2-sqrt{a^2-1})^4). Binomial Theorem Miscellaneous Exercise Previous Next Class 11 Binomial Theorem Miscellaneous Exercise 1. If a and b are distinct integers, prove that (a-b) is a factor of (a^n-b^n), whenever n is a positive integer. 2.…
2. Evaluate ((sqrt{3}+sqrt{2})^6-(sqrt{3}-sqrt{2})^6). Binomial Theorem Miscellaneous Exercise Previous Next Class 11 Binomial Theorem Miscellaneous Exercise 1. If a and b are distinct integers, prove that (a-b) is a factor of (a^n-b^n), whenever n is a positive integer. 2. Evaluate ((sqrt{3}+sqrt{2})^6-(sqrt{3}-sqrt{2})^6). 3.…
1. If a and b are distinct integers, prove that (a-b) is a factor of (a^n-b^n), whenever n is a positive integer. Binomial Theorem Miscellaneous Exercise Previous Next Class 11 Binomial Theorem Miscellaneous Exercise 1. If a and b are distinct…
11. In how many ways can the letters of the word ASSASSINATION be arranged so that all the S’s are together ? Permutations and Combinations Miscellaneous Exercise Previous Next Class 11 Permutations and Combinations Miscellaneous Exercise 1. How many words, with…
10. 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…
9. It is required to seat 5 men and 4 women in a row so that the women occupy the even places. How many such arrangements are possible ? Permutations and Combinations Miscellaneous Exercise Previous Next Class 11 Permutations and…
8. Determine the number of 5-card combinations out of a deck of 52 cards if each selection of 5 cards has exactly one king. Permutations and Combinations Miscellaneous Exercise Previous Next Class 11 Permutations and Combinations Miscellaneous Exercise 1. How many…
7. In an examination, a question paper consists of 12 questions divided into two parts i.e., Part I and Part II, containing 5 and 7 questions, respectively. A student is required to attempt 8 questions in all, selecting at least…
6. The English alphabet has 5 vowels and 21 consonants. How many words with two different vowels and 2 different consonants can be formed from the alphabet ? Permutations and Combinations Miscellaneous Exercise Previous Next Class 11 Permutations and Combinations…
5. How many 6-digit numbers can be formed from the digits 0, 1, 3, 5, 7 and 9 which are divisible by 10 and no digit is repeated ? Permutations and Combinations Miscellaneous Exercise Previous Next Class 11 Permutations and…
