Permutations and Combinations Test

Result

Permutations and Combinations Test - 59

Score
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Rank
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Weekly Quiz Competition

Question 1
4 / -1

There are 9 chairs in a room on which 6 persons are to be seated, out of which one is guest with one specific chair. In how many ways they can sit

A
6720

B
60480

C
30

D
346
Question 2
4 / -1

The number of ways in which 10 persons can go in two boats so that there may be 5 on each boat, supposing that two particular persons will not go in the same boat

A

B

C

D
None of these
Question 3
4 / -1

The total number of natural numbers of six digits that can be made with digits 1,2,3,4, if all digits are to appear in the same number at least once, is

A
1560

B
840

C
1080

D
480

Solution
Question 4
4 / -1

All possible two factors products are formed from numbers 1,2,3,4,...,200. The number of factors out of the total obtained which are multiples of 5 is

A
5040

B
7180

C
8150

D
None of these
Question 5
4 / -1

A father with 8 children takes them 3 at a time to the Zoological gardens, as often as he can without taking the same 3 children together more than once. The number of times he will go to the garden is

A
336

B
112

C
56

D
None of these
Question 6
4 / -1

The product r consecutive integers is divisible by

A
r !

B
(r - 1) !

C
(r + 1) !

D
None of these

Solution
Question 7
4 / -1

The total number of +ve integral solutions (zero included) of x + y + z + w = 20, without restrictions is

A
1771

B
1558

C
1328

D
none of these

Solution
Question 8
4 / -1

If the (n + 1) numbers a, b, c, d,........ be all different and each of them a prime number, then the number of different factors (other than 1) of a^m.b. c.d..... is

A
(m + 1) 2n

B
(m + 1) 2n – 1

C
(m + 1) 2n + 1

D
none of these

Solution
Question 9
4 / -1

Given that n is odd, the number of ways in which three numbers in A.P. can be selected from 1, 2, 3,....., n is

A

B

C

D

Solution
Question 10
4 / -1

The tens digit of 1! + 2! + 3! +..... + 49! is

A
1

B
2

C
3

D
4