Grade 12 Mathematics Important Question Collection
These Questions are repeatedly asked in last five to six years. So kindly try to practice these questions. If you got any error or mistakes, please drop a comment below this post.
Permutation and Combination:
- In how many ways a committee of three can be formed from 4 men and 3 women so that at least one woman is always included?
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A committee of 5 is to be formed from 6 boys and 5 girls. The number of
ways that the committee can be formed so that the committee contains at
least one boy and one girl. [Ans: 455]
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From 8 gentlemen and 5 ladies a committee of 6 is to be formed. In how
many ways can this be done so that the committee contains at least 3
ladies? [Ans: 708]
- In how many ways can the letter of the word "ENGLISH" be arranged in such a way that the vowels always come together? [Ans: 1440]
- In how many different ways can the letters of the word MONDAY be arranged? How many arrangements begin with M? How many begin with M and do not end with y?
- In how many ways the letter of the word COMPUTER can be arranged so that (i)Vowels are always together and (ii) the vowels may occupy only odd positions.
- How many three digits number can be formed by using the integers 0,1,2,3,6,7,8.
- How many numbers between 3000 to 4000 can be formed with the digits 2,3,4,5,6,7.
- In how many ways can 7 students be seated in a circular table?
- In how many ways can 6 different beads be strung on a necklace.
- In how many ways can the letter of the words CALCULUS be arranged so that the repeated letters are always together.
- Find the numbers of ways in which 4 men and 3 women can be seated in a row having seven seats so that the men and the women must be alternate.
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If C(n,r-1) = 36, C(n,r) = 84 and C(n,r+1)=126, find the value of r and
n. [Ans:
n=9,r=3]