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Find the number of ways in which 4 cattle can be selected from a group of 9 cows and 5 buffaloes, such that there is at least 1 buffalo present.

A.	900	B.	875
C.	1001	D.	None of these

Answer and Explanation

Answer:875

Explanation:
The minimum requirement is of 1 buffalo. Hence, 1 or more than 1 buffalo can be selected with no restriction on the number of cows. The possible combinations are:
(1 buffalo, 3 cows), (2 buffaloes, 2 cows), (3 buffaloes, 1 cow), (4 buffaloes, 0 cows).
Required number of ways of selection = (5C1*9C3) + (5C2*9C2) + (5C3*9C1) + (5C4)

= 420 + 360 + 90 + 5
= 875

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