Permutations and Combinations

IBS BANK COACHING Institute in Chandigarh once gain brings you Quantitative Aptitude questions under SSC Coaching Program  on the topic   PERMUTATION and COMBINATION  along with the answer key. Access this question paper with solution plus ask our expert faculty who are enthusiastically helping aspirants to achieve their dream jobs in Banking and Government sector by providing ace Bank PO coaching, best quality Bank clerical coaching, SBI PO coaching, SBI clerical preparation, specialized SSC Coaching in Chandigarh, Mohali, Panchkula, Shimla, Patiala, Ludhiana and at many other centers across North India.

1.    Evaluate : 30 ! / 28 !
    1) 120         2) 640          3)870           4)940
2.    find the value of 60P3 is :
    1) 205220    2)205320      3)215320     4)225340
3.    find the value of 4P4 is :
    1) 24          2)120            3) 1             4)720
4.    find the value of 10C3 is :
    1) 720         2) 120           3) 240         4) 1
5.    find the value of 60C60 is :
    1) 1          2) 24650      3) 2334540      4) 720
6.    How many 4 letters words with or without meaning, can be formed out of the letters of the word, LOGARITHMS, if repetition of         letters is not allowed?
    1) 40    2) 400      3) 5040     4) 2520     5) None
7.    How many words with or without meaning, can be formed by using all the letters of the word DELHI, using each letter exactly         once?
    1) 10    2) 25    3) 60    4) 120    5) None
8.    In how many ways can the letters of the word LEADER be arranged?
    1) 70    2) 144    3) 360    4) 720    5) None
9.    How many words can be formed by using all the letters of the word ALLAHABAD?
    1) 37802) 1890    3) 7560    4) 2520   
10.    How many arrangements can be made out of the letters of the word ENGINEERING?
    1) 277200     2) 92400     3)69300      4) 23100
11.    In how many different ways can the letters of the word OPTICAL be arranged so that the vowels always come together?
    1) 120       2) 720     3) 4320     4)2160    5)  None
12.    In how many different ways can the letters of the word SOFTWARE be arranged so that the vowels always come together?
    1) 4320    2) 360   3) 1440   4) 13440    5) None
13.    In how many different ways can the letters of the word CORPORATION be arranged so that the vowels always come together?
    1) 810       2) 148    3) 140   4) 50400    5) None
14.    In how many different ways can the letters of the word MATHEMATICS be arranged so that the vowels always come together?
    1) 30002) 40048      3) 120960    4) 576
15.    In how many different ways an the letters of the word DETAIL be arranged in such a way that the vowels occupy only the odd         positions?
    1) 32    2) 48         3) 36     4) 578    5) None
16.    In how many different ways an the letters of the word MACHINE be arranged in such a way that the vowels occupy only the odd         positions?
        1) 210      2) 576    3) 144          4) 1728   
17.    In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women ?
    1) 63            2) 90          3) 120                    4) 150
18.    In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?
    1) 266    2) 5040      3) 11760    4) 86400
19.    From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on         the committee. In how many ways can it be done?
    1) 564    2) 645    3) 735            4)756   
20.    In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that         at least one boy should be there?
    1) 150    2) 280    3) 147           4)209
21.    How many words can be formed from the letters of the word DIRECTOR so that the vowels are always together?
    1) 2160.     2) 2260    3) 2460    4) 2530   
22.    In how many ways can a cricket eleven be chosen out of a batch of 15 players?
    1) 13652) 1366    3) 1436    4)1542   
23.    In how many ways, a committee of 5 members can be selected from 6 men and 5 ladies, consisting of 3 men and 2 ladies?
    1) 200    2) 300    3) 350            4)400
24.    In how many ways can the letters of the word APPLE be arranged?
    1) 720          2) 120    3) 60         4) 180
25.    In how many different ways can the letters of the word RUMOUR be arranged?
    1) 180            2) 90    3) 30         4) 720
26.    How many words can be formed from the letters of the word SIGNATURE so that the vowels always come together?
    1) 720    2) 1440    3) 2880    4) 17280
27.    In how many different ways can the letters of the word JUEGE be arranged so that the vowels always come together?
    1) 48           2) 120    3) 124          4) 160
28.    In how many different ways can the letters of the word AUCTION be arranged so that the vowels always come together?
    1) 30           2) 48    3) 144          4) 576
29.    In how many different ways can the letters of the word BANKING be arranged so that the vowels always come together?
        1) 120    2) 720    3)360          4) 540

ANS :-
1.(3) 2.(2) 3.(1) 4.(2) 5.(1) 6.(3) 7.(4) 8.(3) 9.(3) 10.(1)
11.(2) 12.(1) 13.(4) 14.(3) 15.(3) 16.(2) 17.(1) 18.(3) 19.(4)
20.(4) 21.(1) 22.(1) 23.(1) 24.(3) 25.(1) 26.(4) 27.(1) 28.(4) 29.(2)