How many words can be formed by re-arranging the letters of the word ASCENT such that A and T occupy the first and last position respectively?

If 6Pr = 360 and If 6Cr = 15, find r ?

In how many ways can six different rings be worn on four fingers of one hand?

There are 7 non-collinear points. How many triangles can be drawn by joining these points?

From 6 men and 4 ladies, a committee of 5 is to be formed. In how many ways can this be done, if the committee is to include at least one lady?

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