The number of different ways in which five "alike dashes" and "eight alike" dots can be arranged using only seven of these "dashes" and "dots" is

Find the number of ways in which 10 different diamonds can be arranged to make a necklace.

Number of ways in which 7 green bottles and 8 blue bottles can be arranged in a row if exactly 1 pair of green bottles is side by side, is (Assume all bottles to be alike except for the colour).

The number of ways in which the letters of the word PESSIMISTIC can be arranged so that no two S's are together, no of two I's are together and letters S and I are never together is

For examination, a candidate has to select 7 subjects from 3 different groups A, B, C which contain 4, 5, 6 subjects, respectively. The number of different way in which a candidate can make his selection if he has to select at least 2 subjects form each group is a.25 b. 260 c. 2700 d. 2800

The number of ways in which 19 different objects can be divided into two groups of 13 and 6 is

There are 3 copies each of 4 different books. The number of ways in which they can be arranged in a shelf is

Find the number of ways in which 5 girls and 5 boys can be arranged in row (i) if no two boys are together. (ii) if boys and girls are alternate. (iii) all the girls sit together and all the boys sit together. (iv) all the girls are never together.

Number of ways in which the letters of the word 'ABBCABBC' can be arranged such that the word ABBC does not appear is any word is

The total number of ways in which six '+' and four '-' signs can be arranged in a line such that no two signs '-' occur together, is ……….. .

The number of different seven-digit numbers that can be written using only the three digits 1, 2, and 3 with the condition that the digit 2 occurs twice in each number is a. 2P_5 2^5 b. 7C_2 2^5 c. 7C_2 5^2 d. none of these