Ten coins are tossed simultaneously. In how many of the outcomes will the third coin turn up a head?

There are eight boxes of chocolates, each box containing distinct number of chocolates from 1 to 8. In how many ways fou…

How many diagonals can be drawn in a pentagon?

There are 20 couples in a party. Every person greets every person except his or her spouse. People of the same sex shake…

A man positioned at the origin of the coordinate system. the man can take steps of unit measure in the direction North, …

What is the total number of ways in which Dishu can distribute 9 distinct gifts among his 8 distinct girlfriends such th…

After every get-together every person present shakes the hand of every other person. If there were 105 handshakes in all…

While packing for a business trip Mr. Debashis has packed 3 pairs of shoes, 4 pants, 3 half-pants,6 shirts, 3 sweater an…