The number of distinct positive divisors of 22 32 53 is _______.
25
36
72
144
The number of ways in which 6 red roses and 3 white roses can form a garland so that all the white roses come together is _______.
2170
2165
2160
2155
The number of handshakes that can be exchanged among a party of 12 students if every student strikes hands once with every other student is _________.
P ( 12, 2 )
P ( 12, 10 )
C ( 12, 2 )
None of these
The number of selections of 2 candidate for a post out of 5 equally qualified candidates.
P ( 5, 2 )
5 !
( 5 - 2 ) !
10
Six identical coins are arranged in a row. The number of ways in which the number of tails is equal to number of heads is _______.
20
120
9
40
Fifteen girls compete in a race. The first three places can be taken by them in ________.
3 ! ways
12! ways
15 x 14 x 13 ways
42 ways
If 4. 6pr = 6 pr + 1, then r is equal to ________.
4
3
2
1
There are four letter boxes in a post office. In how many ways can a man post 8 distinct letters.
8 x 8
84
4 8
8 p 4
The number of ways in which 5 women, can draw water from 5 taps, no tap remaining unused is _______.
5 x 5
52
If nc2 = nc3 , then the value of nc4 is ________.
5
