Question

How many number of subsets containing three elements can be formed from the set S={1, 2, 3, 4, 5, 6, 7, 8, 9, 10}?

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Answer 1

Answer:

20

Step-by-step explanation:

This is a question of permutation,

It is selecting 3 from 6 = 6×5×4/3×2×1= 20

or you can write:

case1 :{1,2,3}

case2 :{1,2,4}

case3 :{1,2,5}

case4 :{1,2,6}

case5 :{1,3,4}

case6 :{1,3,5}

case7 :{1,3,6}

case8 :{1,4,5}

case9 :{1,4,6}

case10 :{1,5,6}

case11 :{2,3,4}

case12 :{2,3,5}

case13 :{2,3,6}

case14 :{2,4,5}

case15 :{2,4,6}

case16 :{2,5,6}

case17 :{3,4,5}

case18 :{3,4,6}

case19 :{3,5,6}

case20 :{4,5,6}