Permutations an...

In how many ways, five boys and five girls can stand in a circle when boys and girls standing one by one?

What is the number of different messages that can be represented by three a’s and two b’s?

If \({ }^{{n}} {P}_{{r}}=2760,{ }^{{n}} {C}_{{r}}=23\), then the value of \({r}\) is:

The total number of ways in which 5 toys of different colours can be distributed among 3 children, so that, each child gets at least one toy is:

Find the number of arrangements of letters in the word ASHUTOSH?

If \(5 \times{ }^{{n}} {P}_{4}=7 \times{ }^{({n}-1)} {P}_{4}\), then find the value of \({n}\).

How many different words can be formed by using all the letters of the word, ALLAHABAD if both L's do not come together? 

The number of ways in which 5 boys and 4 girls to sit around a table, so that, all the boys sit together is:

If \({ }^{9} P_{5}+5 .{ }^{9} P_{4}={ }^{10} P_{r}\), then the value of \({r}\) is:

There are 20 cricket players, out of which 5 players can bowl. In how many ways can a team of 11 players be selected so, to include 4 bowlers?