The number of possible combinations of 7 objects taken 4 at a time is 35. Then the correct option is D.
Each of the different groups or selections can be formed by taking some or all of a number of objects, irrespective of their arrangments is called a combination.
The number of possible combinations of 7 objects taken 4 at a time.
so, the number of the combination is given as
[tex]^7C_4 = \dfrac{7!}{4!(7-4)!} \\\\\\^7C_4 = \dfrac{7!}{4!(3)!} \\\\\\^7C_4 = \dfrac{7 \times 6\times 5\times 4!}{4!(3\times 2)} \\\\\\^7C_4 = 35[/tex]
More about the combination link is given below.
brainly.com/question/11732255
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