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The number of ways in which coins of denominations of rupees 2, 5 and, 10 can be combined to make a value of rupees 50 is
$$2a + 5b + 10c = 50$$ with $$a, b, c \geq 0$$ integers.
For each $$c$$: $$2a + 5b = 50 - 10c$$. Number of $$(a,b)$$ with $$b$$ even satisfying:
Total $$= 6+5+4+3+2+1 = \mathbf{21}$$.
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