The total number of ways of selecting six coins out of $20$ one rupee coins, $10$ fifty paise coins and $7$ twenty five paise coins, is:

26

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28

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56

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52

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Solution

The correct option is A $28$
If we are given $n$ types of objects, out of them $r$ objects to be selected. Then the formula to select them is $^{(n + r - 1)} C_{r}$ .
For the given problem we are having $n = 3$ , $r = 6$ .
So, number of ways $=^{3 + 6 - 1} C_{6} =^{8} C_{6} = 28$ .
So, option (B) is correct.

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The total number of ways of selecting six coins out of 20 one rupee coins, 10 fifty paise coins and 7 twenty five paise coins, is:

The correct option is A 28If we are given n types of objects, out of them r objects to be selected. Then the formula to select them is (n+r−1)Cr.For the given problem we are having n=3, r=6.So, number of ways =3+6−1C6=8C6=28. So, option (B) is correct.

The total number of ways of selecting six coins out of $20$ one rupee coins, $10$ fifty paise coins and $7$ twenty five paise coins, is: