In how many ways can 21 English and 19 Hindi books be placed in a row so that no two Hindi are together?

1540

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1450

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1504

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1405

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Solution

The correct option is A 1540
Consider there are $21$ English books.
Thus we have total $22$ gaps and we have to select $19$ from them thus total $^{22} C_{19}$ ways.
Total ways $=^{22} C_{19} = 1540$ .

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In how many ways can 21 English and 19 Hindi books be placed in a row so that no two Hindi are together?

The correct option is A 1540Consider there are 21 English books.Thus we have total 22 gaps and we have to select 19 from them thus total 22C19 ways.Total ways =22C19=1540.

The correct option is A 1540
Consider there are $21$ English books.
Thus we have total $22$ gaps and we have to select $19$ from them thus total $^{22} C_{19}$ ways.
Total ways $=^{22} C_{19} = 1540$ .