An urn contains 5 red, 4 black and 3 white marbles. Then the number of ways in which 4 marbles can be drawn from it so that at most 3 of them are red, is:
Total marbles are 5 red, 4 black and 3 white.
4 marbles are drawn, atmost 3 of them are red.
Case are:
3R and 1 other →5C3×7C1=70
2Rand 2 other →5C2×7C2=210
1R and 3 other →5C1×7C3=175
Zero R and 4 other →5C0×7C4=35
Toal =490
Correct option is C.