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shivam singh

CAT Preparation Community 5y ago

There are 8 switches in a row from left to right on a switch board.At least one of the switches is switched on. In how many ways is this possible,if all the switches which are switched on are next to each other

5

Mathematics Hub 5y ago

28

Praneet Sateesh 5y ago

36

ANKUR CHAUBEY 5y ago

36

shivam singh 5y ago

Can anyone please explain?

Ragnar Lothbrok 5y ago

If only one switch is switched on, it can be done in 8 ways. If 2 switches are switched on, it can be done in 8-2+1 = 7 ways. Similarly for 3 switches, it will 8-3+1 = 6 ways. Thus, the answer is 8+7+6+5+4+3+2+1. Ans = 36

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